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Finding the Fourth Proportional to 474,627.20, 711,940.80 and 142,203.20

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Solution

The fourth proportional to 474,627.20, 711,940.80 and 142,203.20 is: 213,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,627.20 : 711,940.80 = 142,203.20 : x
  2. Step 2: Convert to fraction form
    474,627.20/711,940.80 = 142,203.20/x
  3. Step 3: Cross multiply
    474,627.20x = 711,940.80 × 142,203.20
  4. Step 4: Simplify right side
    474,627.20x = 101,240,259,970.56
  5. Step 5: Solve for x
    x = 101,240,259,970.56/474,627.20
  6. Step 6: Final answer
    x = 213,304.80

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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.