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Finding the Fourth Proportional to 284,715.50, 392,873.34 and 157,373.78

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Solution

The fourth proportional to 284,715.50, 392,873.34 and 157,373.78 is: 217,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,715.50 : 392,873.34 = 157,373.78 : x
  2. Step 2: Convert to fraction form
    284,715.50/392,873.34 = 157,373.78/x
  3. Step 3: Cross multiply
    284,715.50x = 392,873.34 × 157,373.78
  4. Step 4: Simplify right side
    284,715.50x = 61,827,962,577.03
  5. Step 5: Solve for x
    x = 61,827,962,577.03/284,715.50
  6. Step 6: Final answer
    x = 217,157.00

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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.