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Finding the Fourth Proportional to 465,471.70, 698,207.55 and 306,039.40

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Solution

The fourth proportional to 465,471.70, 698,207.55 and 306,039.40 is: 459,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,471.70 : 698,207.55 = 306,039.40 : x
  2. Step 2: Convert to fraction form
    465,471.70/698,207.55 = 306,039.40/x
  3. Step 3: Cross multiply
    465,471.70x = 698,207.55 × 306,039.40
  4. Step 4: Simplify right side
    465,471.70x = 213,679,019,677.47
  5. Step 5: Solve for x
    x = 213,679,019,677.47/465,471.70
  6. Step 6: Final answer
    x = 459,059.10

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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.