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Finding the Fourth Proportional to 261,002.70, 391,504.05 and 160,838.10

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Solution

The fourth proportional to 261,002.70, 391,504.05 and 160,838.10 is: 241,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,002.70 : 391,504.05 = 160,838.10 : x
  2. Step 2: Convert to fraction form
    261,002.70/391,504.05 = 160,838.10/x
  3. Step 3: Cross multiply
    261,002.70x = 391,504.05 × 160,838.10
  4. Step 4: Simplify right side
    261,002.70x = 62,968,767,544.31
  5. Step 5: Solve for x
    x = 62,968,767,544.31/261,002.70
  6. Step 6: Final answer
    x = 241,257.15

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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.