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Finding the Fourth Proportional to 398,561.67, 597,332.14 and 218,644.47

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Solution

The fourth proportional to 398,561.67, 597,332.14 and 218,644.47 is: 327,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,561.67 : 597,332.14 = 218,644.47 : x
  2. Step 2: Convert to fraction form
    398,561.67/597,332.14 = 218,644.47/x
  3. Step 3: Cross multiply
    398,561.67x = 597,332.14 × 218,644.47
  4. Step 4: Simplify right side
    398,561.67x = 130,603,368,617.66
  5. Step 5: Solve for x
    x = 130,603,368,617.66/398,561.67
  6. Step 6: Final answer
    x = 327,686.73

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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.