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Finding the Fourth Proportional to 458,860.10, 687,617.85 and 411,475.10

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Solution

The fourth proportional to 458,860.10, 687,617.85 and 411,475.10 is: 616,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,860.10 : 687,617.85 = 411,475.10 : x
  2. Step 2: Convert to fraction form
    458,860.10/687,617.85 = 411,475.10/x
  3. Step 3: Cross multiply
    458,860.10x = 687,617.85 × 411,475.10
  4. Step 4: Simplify right side
    458,860.10x = 282,937,623,590.54
  5. Step 5: Solve for x
    x = 282,937,623,590.54/458,860.10
  6. Step 6: Final answer
    x = 616,609.78

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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.