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Finding the Fourth Proportional to 285,276.71, 427,235.86 and 165,080.28

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Solution

The fourth proportional to 285,276.71, 427,235.86 and 165,080.28 is: 247,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,276.71 : 427,235.86 = 165,080.28 : x
  2. Step 2: Convert to fraction form
    285,276.71/427,235.86 = 165,080.28/x
  3. Step 3: Cross multiply
    285,276.71x = 427,235.86 × 165,080.28
  4. Step 4: Simplify right side
    285,276.71x = 70,528,213,732.61
  5. Step 5: Solve for x
    x = 70,528,213,732.61/285,276.71
  6. Step 6: Final answer
    x = 247,227.38

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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.