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Finding the Fourth Proportional to 538,066.38, 742,565.31 and 296,348.91

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Solution

The fourth proportional to 538,066.38, 742,565.31 and 296,348.91 is: 408,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,066.38 : 742,565.31 = 296,348.91 : x
  2. Step 2: Convert to fraction form
    538,066.38/742,565.31 = 296,348.91/x
  3. Step 3: Cross multiply
    538,066.38x = 742,565.31 × 296,348.91
  4. Step 4: Simplify right side
    538,066.38x = 220,058,420,222.31
  5. Step 5: Solve for x
    x = 220,058,420,222.31/538,066.38
  6. Step 6: Final answer
    x = 408,980.06

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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.