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Finding the Fourth Proportional to 375,532.86, 518,234.70 and 203,455.17

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Solution

The fourth proportional to 375,532.86, 518,234.70 and 203,455.17 is: 280,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,532.86 : 518,234.70 = 203,455.17 : x
  2. Step 2: Convert to fraction form
    375,532.86/518,234.70 = 203,455.17/x
  3. Step 3: Cross multiply
    375,532.86x = 518,234.70 × 203,455.17
  4. Step 4: Simplify right side
    375,532.86x = 105,437,528,988.40
  5. Step 5: Solve for x
    x = 105,437,528,988.40/375,532.86
  6. Step 6: Final answer
    x = 280,767.78

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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.