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Finding the Fourth Proportional to 285,503.92, 393,978.27 and 158,170.30

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Solution

The fourth proportional to 285,503.92, 393,978.27 and 158,170.30 is: 218,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,503.92 : 393,978.27 = 158,170.30 : x
  2. Step 2: Convert to fraction form
    285,503.92/393,978.27 = 158,170.30/x
  3. Step 3: Cross multiply
    285,503.92x = 393,978.27 × 158,170.30
  4. Step 4: Simplify right side
    285,503.92x = 62,315,661,159.38
  5. Step 5: Solve for x
    x = 62,315,661,159.38/285,503.92
  6. Step 6: Final answer
    x = 218,265.52

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1.5x scale

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.