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Finding the Fourth Proportional to 284,155.97, 392,133.30 and 156,831.58

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Solution

The fourth proportional to 284,155.97, 392,133.30 and 156,831.58 is: 216,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,155.97 : 392,133.30 = 156,831.58 : x
  2. Step 2: Convert to fraction form
    284,155.97/392,133.30 = 156,831.58/x
  3. Step 3: Cross multiply
    284,155.97x = 392,133.30 × 156,831.58
  4. Step 4: Simplify right side
    284,155.97x = 61,498,883,048.95
  5. Step 5: Solve for x
    x = 61,498,883,048.95/284,155.97
  6. Step 6: Final answer
    x = 216,426.50

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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.