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Finding the Fourth Proportional to 284,155.47, 392,132.61 and 156,831.08

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Solution

The fourth proportional to 284,155.47, 392,132.61 and 156,831.08 is: 216,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,155.47 : 392,132.61 = 156,831.08 : x
  2. Step 2: Convert to fraction form
    284,155.47/392,132.61 = 156,831.08/x
  3. Step 3: Cross multiply
    284,155.47x = 392,132.61 × 156,831.08
  4. Step 4: Simplify right side
    284,155.47x = 61,498,578,768.86
  5. Step 5: Solve for x
    x = 61,498,578,768.86/284,155.47
  6. Step 6: Final answer
    x = 216,425.81

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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.