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Finding the Fourth Proportional to 284,778.92, 393,002.80 and 157,459.07

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Solution

The fourth proportional to 284,778.92, 393,002.80 and 157,459.07 is: 217,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.92 : 393,002.80 = 157,459.07 : x
  2. Step 2: Convert to fraction form
    284,778.92/393,002.80 = 157,459.07/x
  3. Step 3: Cross multiply
    284,778.92x = 393,002.80 × 157,459.07
  4. Step 4: Simplify right side
    284,778.92x = 61,881,855,984.26
  5. Step 5: Solve for x
    x = 61,881,855,984.26/284,778.92
  6. Step 6: Final answer
    x = 217,297.88

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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.