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Finding the Fourth Proportional to 348,143.80, 521,178.90 and 207,830.20

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Solution

The fourth proportional to 348,143.80, 521,178.90 and 207,830.20 is: 311,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,143.80 : 521,178.90 = 207,830.20 : x
  2. Step 2: Convert to fraction form
    348,143.80/521,178.90 = 207,830.20/x
  3. Step 3: Cross multiply
    348,143.80x = 521,178.90 × 207,830.20
  4. Step 4: Simplify right side
    348,143.80x = 108,316,715,022.78
  5. Step 5: Solve for x
    x = 108,316,715,022.78/348,143.80
  6. Step 6: Final answer
    x = 311,126.37

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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.