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Finding the Fourth Proportional to 458,001.10, 687,001.65 and 407,262.70

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Solution

The fourth proportional to 458,001.10, 687,001.65 and 407,262.70 is: 610,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,001.10 : 687,001.65 = 407,262.70 : x
  2. Step 2: Convert to fraction form
    458,001.10/687,001.65 = 407,262.70/x
  3. Step 3: Cross multiply
    458,001.10x = 687,001.65 × 407,262.70
  4. Step 4: Simplify right side
    458,001.10x = 279,790,146,883.46
  5. Step 5: Solve for x
    x = 279,790,146,883.46/458,001.10
  6. Step 6: Final answer
    x = 610,894.05

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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.