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Finding the Fourth Proportional to 532,830.78, 798,557.25 and 398,658.33

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Solution

The fourth proportional to 532,830.78, 798,557.25 and 398,658.33 is: 597,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,830.78 : 798,557.25 = 398,658.33 : x
  2. Step 2: Convert to fraction form
    532,830.78/798,557.25 = 398,658.33/x
  3. Step 3: Cross multiply
    532,830.78x = 798,557.25 × 398,658.33
  4. Step 4: Simplify right side
    532,830.78x = 318,351,499,694.39
  5. Step 5: Solve for x
    x = 318,351,499,694.39/532,830.78
  6. Step 6: Final answer
    x = 597,472.05

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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.