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Finding the Fourth Proportional to 410,338, 615,586.80 and 157,600

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Solution

The fourth proportional to 410,338, 615,586.80 and 157,600 is: 236,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,338 : 615,586.80 = 157,600 : x
  2. Step 2: Convert to fraction form
    410,338/615,586.80 = 157,600/x
  3. Step 3: Cross multiply
    410,338x = 615,586.80 × 157,600
  4. Step 4: Simplify right side
    410,338x = 97,016,479,680
  5. Step 5: Solve for x
    x = 97,016,479,680/410,338
  6. Step 6: Final answer
    x = 236,430.65

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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.