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Finding the Fourth Proportional to 387,529.92, 534,785.76 and 217,762.56

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Solution

The fourth proportional to 387,529.92, 534,785.76 and 217,762.56 is: 300,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,529.92 : 534,785.76 = 217,762.56 : x
  2. Step 2: Convert to fraction form
    387,529.92/534,785.76 = 217,762.56/x
  3. Step 3: Cross multiply
    387,529.92x = 534,785.76 × 217,762.56
  4. Step 4: Simplify right side
    387,529.92x = 116,456,316,149.15
  5. Step 5: Solve for x
    x = 116,456,316,149.15/387,529.92
  6. Step 6: Final answer
    x = 300,509.23

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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.