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Finding the Fourth Proportional to 739,608, 1,020,658.56 and 400,076.24

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Solution

The fourth proportional to 739,608, 1,020,658.56 and 400,076.24 is: 552,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,608 : 1,020,658.56 = 400,076.24 : x
  2. Step 2: Convert to fraction form
    739,608/1,020,658.56 = 400,076.24/x
  3. Step 3: Cross multiply
    739,608x = 1,020,658.56 × 400,076.24
  4. Step 4: Simplify right side
    739,608x = 408,341,239,008.61
  5. Step 5: Solve for x
    x = 408,341,239,008.61/739,608
  6. Step 6: Final answer
    x = 552,104.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.