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Finding the Fourth Proportional to 978,005.40, 1,467,008.10 and 659,140.80

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Solution

The fourth proportional to 978,005.40, 1,467,008.10 and 659,140.80 is: 988,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,005.40 : 1,467,008.10 = 659,140.80 : x
  2. Step 2: Convert to fraction form
    978,005.40/1,467,008.10 = 659,140.80/x
  3. Step 3: Cross multiply
    978,005.40x = 1,467,008.10 × 659,140.80
  4. Step 4: Simplify right side
    978,005.40x = 966,964,892,640.48
  5. Step 5: Solve for x
    x = 966,964,892,640.48/978,005.40
  6. Step 6: Final answer
    x = 988,711.20

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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.