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Finding the Fourth Proportional to 468,009.40, 702,014.10 and 458,678.20

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Solution

The fourth proportional to 468,009.40, 702,014.10 and 458,678.20 is: 688,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,009.40 : 702,014.10 = 458,678.20 : x
  2. Step 2: Convert to fraction form
    468,009.40/702,014.10 = 458,678.20/x
  3. Step 3: Cross multiply
    468,009.40x = 702,014.10 × 458,678.20
  4. Step 4: Simplify right side
    468,009.40x = 321,998,563,762.62
  5. Step 5: Solve for x
    x = 321,998,563,762.62/468,009.40
  6. Step 6: Final answer
    x = 688,017.30

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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.