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Finding the Fourth Proportional to 978,138.20, 1,467,207.30 and 347,115.80

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Solution

The fourth proportional to 978,138.20, 1,467,207.30 and 347,115.80 is: 520,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,138.20 : 1,467,207.30 = 347,115.80 : x
  2. Step 2: Convert to fraction form
    978,138.20/1,467,207.30 = 347,115.80/x
  3. Step 3: Cross multiply
    978,138.20x = 1,467,207.30 × 347,115.80
  4. Step 4: Simplify right side
    978,138.20x = 509,290,835,705.34
  5. Step 5: Solve for x
    x = 509,290,835,705.34/978,138.20
  6. Step 6: Final answer
    x = 520,673.70

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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.