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Finding the Fourth Proportional to 306,005.10, 458,132.85 and 274,512.30

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Solution

The fourth proportional to 306,005.10, 458,132.85 and 274,512.30 is: 410,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,005.10 : 458,132.85 = 274,512.30 : x
  2. Step 2: Convert to fraction form
    306,005.10/458,132.85 = 274,512.30/x
  3. Step 3: Cross multiply
    306,005.10x = 458,132.85 × 274,512.30
  4. Step 4: Simplify right side
    306,005.10x = 125,763,102,359.06
  5. Step 5: Solve for x
    x = 125,763,102,359.06/306,005.10
  6. Step 6: Final answer
    x = 410,983.68

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1.5x scale

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.