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Finding the Fourth Proportional to 285,315.75, 393,730.89 and 157,988.61

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Solution

The fourth proportional to 285,315.75, 393,730.89 and 157,988.61 is: 218,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,315.75 : 393,730.89 = 157,988.61 : x
  2. Step 2: Convert to fraction form
    285,315.75/393,730.89 = 157,988.61/x
  3. Step 3: Cross multiply
    285,315.75x = 393,730.89 × 157,988.61
  4. Step 4: Simplify right side
    285,315.75x = 62,204,996,025.16
  5. Step 5: Solve for x
    x = 62,204,996,025.16/285,315.75
  6. Step 6: Final answer
    x = 218,021.60

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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.