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Finding the Fourth Proportional to 285,077.97, 427,740.98 and 178,705.71

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Solution

The fourth proportional to 285,077.97, 427,740.98 and 178,705.71 is: 268,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,077.97 : 427,740.98 = 178,705.71 : x
  2. Step 2: Convert to fraction form
    285,077.97/427,740.98 = 178,705.71/x
  3. Step 3: Cross multiply
    285,077.97x = 427,740.98 × 178,705.71
  4. Step 4: Simplify right side
    285,077.97x = 76,439,754,633.47
  5. Step 5: Solve for x
    x = 76,439,754,633.47/285,077.97
  6. Step 6: Final answer
    x = 268,136.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.