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Finding the Fourth Proportional to 474,584.32, 711,876.80 and 142,160

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Solution

The fourth proportional to 474,584.32, 711,876.80 and 142,160 is: 213,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,584.32 : 711,876.80 = 142,160 : x
  2. Step 2: Convert to fraction form
    474,584.32/711,876.80 = 142,160/x
  3. Step 3: Cross multiply
    474,584.32x = 711,876.80 × 142,160
  4. Step 4: Simplify right side
    474,584.32x = 101,200,405,888
  5. Step 5: Solve for x
    x = 101,200,405,888/474,584.32
  6. Step 6: Final answer
    x = 213,240.10

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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.