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Finding the Fourth Proportional to 261,404.24, 391,895.16 and 101,397.56

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Solution

The fourth proportional to 261,404.24, 391,895.16 and 101,397.56 is: 152,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,404.24 : 391,895.16 = 101,397.56 : x
  2. Step 2: Convert to fraction form
    261,404.24/391,895.16 = 101,397.56/x
  3. Step 3: Cross multiply
    261,404.24x = 391,895.16 × 101,397.56
  4. Step 4: Simplify right side
    261,404.24x = 39,737,212,999.81
  5. Step 5: Solve for x
    x = 39,737,212,999.81/261,404.24
  6. Step 6: Final answer
    x = 152,014.42

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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.