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Finding the Fourth Proportional to 261,664.80, 391,978.80 and 243,002.40

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Solution

The fourth proportional to 261,664.80, 391,978.80 and 243,002.40 is: 364,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,664.80 : 391,978.80 = 243,002.40 : x
  2. Step 2: Convert to fraction form
    261,664.80/391,978.80 = 243,002.40/x
  3. Step 3: Cross multiply
    261,664.80x = 391,978.80 × 243,002.40
  4. Step 4: Simplify right side
    261,664.80x = 95,251,789,149.12
  5. Step 5: Solve for x
    x = 95,251,789,149.12/261,664.80
  6. Step 6: Final answer
    x = 364,022.17

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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.