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Finding the Fourth Proportional to 284,809.61, 393,045.14 and 157,489.76

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Solution

The fourth proportional to 284,809.61, 393,045.14 and 157,489.76 is: 217,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,809.61 : 393,045.14 = 157,489.76 : x
  2. Step 2: Convert to fraction form
    284,809.61/393,045.14 = 157,489.76/x
  3. Step 3: Cross multiply
    284,809.61x = 393,045.14 × 157,489.76
  4. Step 4: Simplify right side
    284,809.61x = 61,900,584,767.77
  5. Step 5: Solve for x
    x = 61,900,584,767.77/284,809.61
  6. Step 6: Final answer
    x = 217,340.23

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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.