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Finding the Fourth Proportional to 474,805.20, 712,207.80 and 142,381.20

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Solution

The fourth proportional to 474,805.20, 712,207.80 and 142,381.20 is: 213,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,805.20 : 712,207.80 = 142,381.20 : x
  2. Step 2: Convert to fraction form
    474,805.20/712,207.80 = 142,381.20/x
  3. Step 3: Cross multiply
    474,805.20x = 712,207.80 × 142,381.20
  4. Step 4: Simplify right side
    474,805.20x = 101,405,001,213.36
  5. Step 5: Solve for x
    x = 101,405,001,213.36/474,805.20
  6. Step 6: Final answer
    x = 213,571.80

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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.