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Finding the Fourth Proportional to 343,229.60, 514,844.40 and 283,743.20

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Solution

The fourth proportional to 343,229.60, 514,844.40 and 283,743.20 is: 425,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,229.60 : 514,844.40 = 283,743.20 : x
  2. Step 2: Convert to fraction form
    343,229.60/514,844.40 = 283,743.20/x
  3. Step 3: Cross multiply
    343,229.60x = 514,844.40 × 283,743.20
  4. Step 4: Simplify right side
    343,229.60x = 146,083,597,558.08
  5. Step 5: Solve for x
    x = 146,083,597,558.08/343,229.60
  6. Step 6: Final answer
    x = 425,614.80

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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.