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Finding the Fourth Proportional to 458,411.90, 687,617.85 and 417,077.60

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Solution

The fourth proportional to 458,411.90, 687,617.85 and 417,077.60 is: 625,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,411.90 : 687,617.85 = 417,077.60 : x
  2. Step 2: Convert to fraction form
    458,411.90/687,617.85 = 417,077.60/x
  3. Step 3: Cross multiply
    458,411.90x = 687,617.85 × 417,077.60
  4. Step 4: Simplify right side
    458,411.90x = 286,790,002,595.16
  5. Step 5: Solve for x
    x = 286,790,002,595.16/458,411.90
  6. Step 6: Final answer
    x = 625,616.40

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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.