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Finding the Fourth Proportional to 314,765.80, 472,148.70 and 293,876.20

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Solution

The fourth proportional to 314,765.80, 472,148.70 and 293,876.20 is: 440,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,765.80 : 472,148.70 = 293,876.20 : x
  2. Step 2: Convert to fraction form
    314,765.80/472,148.70 = 293,876.20/x
  3. Step 3: Cross multiply
    314,765.80x = 472,148.70 × 293,876.20
  4. Step 4: Simplify right side
    314,765.80x = 138,753,265,790.94
  5. Step 5: Solve for x
    x = 138,753,265,790.94/314,765.80
  6. Step 6: Final answer
    x = 440,814.30

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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.