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Finding the Fourth Proportional to 521,451.28, 719,553 and 414,280.72

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Solution

The fourth proportional to 521,451.28, 719,553 and 414,280.72 is: 571,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,451.28 : 719,553 = 414,280.72 : x
  2. Step 2: Convert to fraction form
    521,451.28/719,553 = 414,280.72/x
  3. Step 3: Cross multiply
    521,451.28x = 719,553 × 414,280.72
  4. Step 4: Simplify right side
    521,451.28x = 298,096,934,918.16
  5. Step 5: Solve for x
    x = 298,096,934,918.16/521,451.28
  6. Step 6: Final answer
    x = 571,667.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.