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Finding the Fourth Proportional to 284,684.83, 392,861.75 and 157,357.69

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Solution

The fourth proportional to 284,684.83, 392,861.75 and 157,357.69 is: 217,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,684.83 : 392,861.75 = 157,357.69 : x
  2. Step 2: Convert to fraction form
    284,684.83/392,861.75 = 157,357.69/x
  3. Step 3: Cross multiply
    284,684.83x = 392,861.75 × 157,357.69
  4. Step 4: Simplify right side
    284,684.83x = 61,819,815,700.41
  5. Step 5: Solve for x
    x = 61,819,815,700.41/284,684.83
  6. Step 6: Final answer
    x = 217,151.78

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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.