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Finding the Fourth Proportional to 648,009.70, 972,014.55 and 410,064.10

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Solution

The fourth proportional to 648,009.70, 972,014.55 and 410,064.10 is: 615,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,009.70 : 972,014.55 = 410,064.10 : x
  2. Step 2: Convert to fraction form
    648,009.70/972,014.55 = 410,064.10/x
  3. Step 3: Cross multiply
    648,009.70x = 972,014.55 × 410,064.10
  4. Step 4: Simplify right side
    648,009.70x = 398,588,271,632.66
  5. Step 5: Solve for x
    x = 398,588,271,632.66/648,009.70
  6. Step 6: Final answer
    x = 615,096.15

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.