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Finding the Fourth Proportional to 285,013.60, 427,620 and 178,275.76

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Solution

The fourth proportional to 285,013.60, 427,620 and 178,275.76 is: 267,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,013.60 : 427,620 = 178,275.76 : x
  2. Step 2: Convert to fraction form
    285,013.60/427,620 = 178,275.76/x
  3. Step 3: Cross multiply
    285,013.60x = 427,620 × 178,275.76
  4. Step 4: Simplify right side
    285,013.60x = 76,234,280,491.20
  5. Step 5: Solve for x
    x = 76,234,280,491.20/285,013.60
  6. Step 6: Final answer
    x = 267,475.94

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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.