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Finding the Fourth Proportional to 284,149.86, 392,177.58 and 169,435.92

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Solution

The fourth proportional to 284,149.86, 392,177.58 and 169,435.92 is: 233,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.86 : 392,177.58 = 169,435.92 : x
  2. Step 2: Convert to fraction form
    284,149.86/392,177.58 = 169,435.92/x
  3. Step 3: Cross multiply
    284,149.86x = 392,177.58 × 169,435.92
  4. Step 4: Simplify right side
    284,149.86x = 66,448,969,070.67
  5. Step 5: Solve for x
    x = 66,448,969,070.67/284,149.86
  6. Step 6: Final answer
    x = 233,851.85

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1.5x scale

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.