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Finding the Fourth Proportional to 493,534.40, 740,474.40 and 178,001.60

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Solution

The fourth proportional to 493,534.40, 740,474.40 and 178,001.60 is: 267,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,534.40 : 740,474.40 = 178,001.60 : x
  2. Step 2: Convert to fraction form
    493,534.40/740,474.40 = 178,001.60/x
  3. Step 3: Cross multiply
    493,534.40x = 740,474.40 × 178,001.60
  4. Step 4: Simplify right side
    493,534.40x = 131,805,627,959.04
  5. Step 5: Solve for x
    x = 131,805,627,959.04/493,534.40
  6. Step 6: Final answer
    x = 267,064.72

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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.