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Finding the Fourth Proportional to 284,956.84, 393,240.72 and 157,641.04

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Solution

The fourth proportional to 284,956.84, 393,240.72 and 157,641.04 is: 217,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,956.84 : 393,240.72 = 157,641.04 : x
  2. Step 2: Convert to fraction form
    284,956.84/393,240.72 = 157,641.04/x
  3. Step 3: Cross multiply
    284,956.84x = 393,240.72 × 157,641.04
  4. Step 4: Simplify right side
    284,956.84x = 61,990,876,071.15
  5. Step 5: Solve for x
    x = 61,990,876,071.15/284,956.84
  6. Step 6: Final answer
    x = 217,544.79

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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.