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Finding the Fourth Proportional to 343,836.90, 514,771.20 and 304,470.90

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Solution

The fourth proportional to 343,836.90, 514,771.20 and 304,470.90 is: 455,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,836.90 : 514,771.20 = 304,470.90 : x
  2. Step 2: Convert to fraction form
    343,836.90/514,771.20 = 304,470.90/x
  3. Step 3: Cross multiply
    343,836.90x = 514,771.20 × 304,470.90
  4. Step 4: Simplify right side
    343,836.90x = 156,732,850,558.08
  5. Step 5: Solve for x
    x = 156,732,850,558.08/343,836.90
  6. Step 6: Final answer
    x = 455,834.88

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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.