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Finding the Fourth Proportional to 284,776.68, 392,957.46 and 157,434.96

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Solution

The fourth proportional to 284,776.68, 392,957.46 and 157,434.96 is: 217,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,776.68 : 392,957.46 = 157,434.96 : x
  2. Step 2: Convert to fraction form
    284,776.68/392,957.46 = 157,434.96/x
  3. Step 3: Cross multiply
    284,776.68x = 392,957.46 × 157,434.96
  4. Step 4: Simplify right side
    284,776.68x = 61,865,241,996.80
  5. Step 5: Solve for x
    x = 61,865,241,996.80/284,776.68
  6. Step 6: Final answer
    x = 217,241.25

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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.