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Finding the Fourth Proportional to 417,032.78, 625,065.26 and 191,920.64

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Solution

The fourth proportional to 417,032.78, 625,065.26 and 191,920.64 is: 287,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,032.78 : 625,065.26 = 191,920.64 : x
  2. Step 2: Convert to fraction form
    417,032.78/625,065.26 = 191,920.64/x
  3. Step 3: Cross multiply
    417,032.78x = 625,065.26 × 191,920.64
  4. Step 4: Simplify right side
    417,032.78x = 119,962,924,740.97
  5. Step 5: Solve for x
    x = 119,962,924,740.97/417,032.78
  6. Step 6: Final answer
    x = 287,658.26

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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.