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Finding the Fourth Proportional to 309,231.40, 463,847.10 and 98,876.20

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Solution

The fourth proportional to 309,231.40, 463,847.10 and 98,876.20 is: 148,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,231.40 : 463,847.10 = 98,876.20 : x
  2. Step 2: Convert to fraction form
    309,231.40/463,847.10 = 98,876.20/x
  3. Step 3: Cross multiply
    309,231.40x = 463,847.10 × 98,876.20
  4. Step 4: Simplify right side
    309,231.40x = 45,863,438,629.02
  5. Step 5: Solve for x
    x = 45,863,438,629.02/309,231.40
  6. Step 6: Final answer
    x = 148,314.30

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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.