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Finding the Fourth Proportional to 284,723.50, 392,884.32 and 157,381.78

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Solution

The fourth proportional to 284,723.50, 392,884.32 and 157,381.78 is: 217,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,723.50 : 392,884.32 = 157,381.78 : x
  2. Step 2: Convert to fraction form
    284,723.50/392,884.32 = 157,381.78/x
  3. Step 3: Cross multiply
    284,723.50x = 392,884.32 × 157,381.78
  4. Step 4: Simplify right side
    284,723.50x = 61,832,833,615.69
  5. Step 5: Solve for x
    x = 61,832,833,615.69/284,723.50
  6. Step 6: Final answer
    x = 217,168.00

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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.