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Finding the Fourth Proportional to 343,742.40, 516,002.40 and 185,889.60

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Solution

The fourth proportional to 343,742.40, 516,002.40 and 185,889.60 is: 279,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,742.40 : 516,002.40 = 185,889.60 : x
  2. Step 2: Convert to fraction form
    343,742.40/516,002.40 = 185,889.60/x
  3. Step 3: Cross multiply
    343,742.40x = 516,002.40 × 185,889.60
  4. Step 4: Simplify right side
    343,742.40x = 95,919,479,735.04
  5. Step 5: Solve for x
    x = 95,919,479,735.04/343,742.40
  6. Step 6: Final answer
    x = 279,044.66

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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.