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Finding the Fourth Proportional to 285,312.74, 393,731.55 and 157,988.33

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Solution

The fourth proportional to 285,312.74, 393,731.55 and 157,988.33 is: 218,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,312.74 : 393,731.55 = 157,988.33 : x
  2. Step 2: Convert to fraction form
    285,312.74/393,731.55 = 157,988.33/x
  3. Step 3: Cross multiply
    285,312.74x = 393,731.55 × 157,988.33
  4. Step 4: Simplify right side
    285,312.74x = 62,204,990,052.81
  5. Step 5: Solve for x
    x = 62,204,990,052.81/285,312.74
  6. Step 6: Final answer
    x = 218,023.88

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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.