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Finding the Fourth Proportional to 461,088, 636,306.30 and 259,884

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Solution

The fourth proportional to 461,088, 636,306.30 and 259,884 is: 358,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,088 : 636,306.30 = 259,884 : x
  2. Step 2: Convert to fraction form
    461,088/636,306.30 = 259,884/x
  3. Step 3: Cross multiply
    461,088x = 636,306.30 × 259,884
  4. Step 4: Simplify right side
    461,088x = 165,365,826,469.20
  5. Step 5: Solve for x
    x = 165,365,826,469.20/461,088
  6. Step 6: Final answer
    x = 358,642.66

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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.