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Finding the Fourth Proportional to 284,699.53, 392,870.01 and 157,367.53

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Solution

The fourth proportional to 284,699.53, 392,870.01 and 157,367.53 is: 217,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,699.53 : 392,870.01 = 157,367.53 : x
  2. Step 2: Convert to fraction form
    284,699.53/392,870.01 = 157,367.53/x
  3. Step 3: Cross multiply
    284,699.53x = 392,870.01 × 157,367.53
  4. Step 4: Simplify right side
    284,699.53x = 61,824,983,084.78
  5. Step 5: Solve for x
    x = 61,824,983,084.78/284,699.53
  6. Step 6: Final answer
    x = 217,158.71

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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.