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Finding the Fourth Proportional to 299,319.78, 412,952.97 and 230,430.27

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Solution

The fourth proportional to 299,319.78, 412,952.97 and 230,430.27 is: 317,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,319.78 : 412,952.97 = 230,430.27 : x
  2. Step 2: Convert to fraction form
    299,319.78/412,952.97 = 230,430.27/x
  3. Step 3: Cross multiply
    299,319.78x = 412,952.97 × 230,430.27
  4. Step 4: Simplify right side
    299,319.78x = 95,156,864,374.40
  5. Step 5: Solve for x
    x = 95,156,864,374.40/299,319.78
  6. Step 6: Final answer
    x = 317,910.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.