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Finding the Fourth Proportional to 417,350, 575,943 and 238,502

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Solution

The fourth proportional to 417,350, 575,943 and 238,502 is: 329,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,350 : 575,943 = 238,502 : x
  2. Step 2: Convert to fraction form
    417,350/575,943 = 238,502/x
  3. Step 3: Cross multiply
    417,350x = 575,943 × 238,502
  4. Step 4: Simplify right side
    417,350x = 137,363,557,386
  5. Step 5: Solve for x
    x = 137,363,557,386/417,350
  6. Step 6: Final answer
    x = 329,132.76

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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.