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Finding the Fourth Proportional to 978,000.40, 1,467,000.60 and 659,135.80

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Solution

The fourth proportional to 978,000.40, 1,467,000.60 and 659,135.80 is: 988,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,000.40 : 1,467,000.60 = 659,135.80 : x
  2. Step 2: Convert to fraction form
    978,000.40/1,467,000.60 = 659,135.80/x
  3. Step 3: Cross multiply
    978,000.40x = 1,467,000.60 × 659,135.80
  4. Step 4: Simplify right side
    978,000.40x = 966,952,614,081.48
  5. Step 5: Solve for x
    x = 966,952,614,081.48/978,000.40
  6. Step 6: Final answer
    x = 988,703.70

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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.