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Finding the Fourth Proportional to 978,615,489.60, 1,467,923,234.40 and 940,992,091.20

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Solution

The fourth proportional to 978,615,489.60, 1,467,923,234.40 and 940,992,091.20 is: 1,411,488,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,615,489.60 : 1,467,923,234.40 = 940,992,091.20 : x
  2. Step 2: Convert to fraction form
    978,615,489.60/1,467,923,234.40 = 940,992,091.20/x
  3. Step 3: Cross multiply
    978,615,489.60x = 1,467,923,234.40 × 940,992,091.20
  4. Step 4: Simplify right side
    978,615,489.60x = 1,381,304,154,059,123,968
  5. Step 5: Solve for x
    x = 1,381,304,154,059,123,968/978,615,489.60
  6. Step 6: Final answer
    x = 1,411,488,136.80

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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.