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Finding the Fourth Proportional to 285,002.60, 427,287.90 and 144,861.80

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Solution

The fourth proportional to 285,002.60, 427,287.90 and 144,861.80 is: 217,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,002.60 : 427,287.90 = 144,861.80 : x
  2. Step 2: Convert to fraction form
    285,002.60/427,287.90 = 144,861.80/x
  3. Step 3: Cross multiply
    285,002.60x = 427,287.90 × 144,861.80
  4. Step 4: Simplify right side
    285,002.60x = 61,897,694,312.22
  5. Step 5: Solve for x
    x = 61,897,694,312.22/285,002.60
  6. Step 6: Final answer
    x = 217,182.91

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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.