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Finding the Fourth Proportional to 306,999.90, 460,499.85 and 231,712.43

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Solution

The fourth proportional to 306,999.90, 460,499.85 and 231,712.43 is: 347,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,999.90 : 460,499.85 = 231,712.43 : x
  2. Step 2: Convert to fraction form
    306,999.90/460,499.85 = 231,712.43/x
  3. Step 3: Cross multiply
    306,999.90x = 460,499.85 × 231,712.43
  4. Step 4: Simplify right side
    306,999.90x = 106,703,536,955.64
  5. Step 5: Solve for x
    x = 106,703,536,955.64/306,999.90
  6. Step 6: Final answer
    x = 347,568.64

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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.