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Finding the Fourth Proportional to 284,854.96, 393,073.45 and 157,527.82

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Solution

The fourth proportional to 284,854.96, 393,073.45 and 157,527.82 is: 217,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,854.96 : 393,073.45 = 157,527.82 : x
  2. Step 2: Convert to fraction form
    284,854.96/393,073.45 = 157,527.82/x
  3. Step 3: Cross multiply
    284,854.96x = 393,073.45 × 157,527.82
  4. Step 4: Simplify right side
    284,854.96x = 61,920,003,678.38
  5. Step 5: Solve for x
    x = 61,920,003,678.38/284,854.96
  6. Step 6: Final answer
    x = 217,373.79

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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.