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Finding the Fourth Proportional to 285,068.16, 393,397.56 and 157,755.60

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Solution

The fourth proportional to 285,068.16, 393,397.56 and 157,755.60 is: 217,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,068.16 : 393,397.56 = 157,755.60 : x
  2. Step 2: Convert to fraction form
    285,068.16/393,397.56 = 157,755.60/x
  3. Step 3: Cross multiply
    285,068.16x = 393,397.56 × 157,755.60
  4. Step 4: Simplify right side
    285,068.16x = 62,060,668,116.34
  5. Step 5: Solve for x
    x = 62,060,668,116.34/285,068.16
  6. Step 6: Final answer
    x = 217,704.66

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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.