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Finding the Fourth Proportional to 387,663.76, 581,641.44 and 134,963.20

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Solution

The fourth proportional to 387,663.76, 581,641.44 and 134,963.20 is: 202,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,663.76 : 581,641.44 = 134,963.20 : x
  2. Step 2: Convert to fraction form
    387,663.76/581,641.44 = 134,963.20/x
  3. Step 3: Cross multiply
    387,663.76x = 581,641.44 × 134,963.20
  4. Step 4: Simplify right side
    387,663.76x = 78,500,189,995.01
  5. Step 5: Solve for x
    x = 78,500,189,995.01/387,663.76
  6. Step 6: Final answer
    x = 202,495.56

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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.