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Finding the Fourth Proportional to 501,530.28, 752,416.92 and 288,434.58

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Solution

The fourth proportional to 501,530.28, 752,416.92 and 288,434.58 is: 432,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,530.28 : 752,416.92 = 288,434.58 : x
  2. Step 2: Convert to fraction form
    501,530.28/752,416.92 = 288,434.58/x
  3. Step 3: Cross multiply
    501,530.28x = 752,416.92 × 288,434.58
  4. Step 4: Simplify right side
    501,530.28x = 217,023,058,305.09
  5. Step 5: Solve for x
    x = 217,023,058,305.09/501,530.28
  6. Step 6: Final answer
    x = 432,721.75

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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.