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Finding the Fourth Proportional to 330,129.10, 496,250.70 and 306,728.20

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Solution

The fourth proportional to 330,129.10, 496,250.70 and 306,728.20 is: 461,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,129.10 : 496,250.70 = 306,728.20 : x
  2. Step 2: Convert to fraction form
    330,129.10/496,250.70 = 306,728.20/x
  3. Step 3: Cross multiply
    330,129.10x = 496,250.70 × 306,728.20
  4. Step 4: Simplify right side
    330,129.10x = 152,214,083,959.74
  5. Step 5: Solve for x
    x = 152,214,083,959.74/330,129.10
  6. Step 6: Final answer
    x = 461,074.42

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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.