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Finding the Fourth Proportional to 357,431.82, 536,334.88 and 144,252.78

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Solution

The fourth proportional to 357,431.82, 536,334.88 and 144,252.78 is: 216,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,431.82 : 536,334.88 = 144,252.78 : x
  2. Step 2: Convert to fraction form
    357,431.82/536,334.88 = 144,252.78/x
  3. Step 3: Cross multiply
    357,431.82x = 536,334.88 × 144,252.78
  4. Step 4: Simplify right side
    357,431.82x = 77,367,797,450.97
  5. Step 5: Solve for x
    x = 77,367,797,450.97/357,431.82
  6. Step 6: Final answer
    x = 216,454.70

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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.