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Finding the Fourth Proportional to 316,897.38, 475,026.21 and 198,651.78

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Solution

The fourth proportional to 316,897.38, 475,026.21 and 198,651.78 is: 297,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,897.38 : 475,026.21 = 198,651.78 : x
  2. Step 2: Convert to fraction form
    316,897.38/475,026.21 = 198,651.78/x
  3. Step 3: Cross multiply
    316,897.38x = 475,026.21 × 198,651.78
  4. Step 4: Simplify right side
    316,897.38x = 94,364,802,163.15
  5. Step 5: Solve for x
    x = 94,364,802,163.15/316,897.38
  6. Step 6: Final answer
    x = 297,777.16

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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.