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Finding the Fourth Proportional to 648,635.40, 972,953.10 and 470,305.80

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Solution

The fourth proportional to 648,635.40, 972,953.10 and 470,305.80 is: 705,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,635.40 : 972,953.10 = 470,305.80 : x
  2. Step 2: Convert to fraction form
    648,635.40/972,953.10 = 470,305.80/x
  3. Step 3: Cross multiply
    648,635.40x = 972,953.10 × 470,305.80
  4. Step 4: Simplify right side
    648,635.40x = 457,585,486,057.98
  5. Step 5: Solve for x
    x = 457,585,486,057.98/648,635.40
  6. Step 6: Final answer
    x = 705,458.70

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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.