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Finding the Fourth Proportional to 497,680.40, 745,354.20 and 308,723.60

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Solution

The fourth proportional to 497,680.40, 745,354.20 and 308,723.60 is: 462,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,680.40 : 745,354.20 = 308,723.60 : x
  2. Step 2: Convert to fraction form
    497,680.40/745,354.20 = 308,723.60/x
  3. Step 3: Cross multiply
    497,680.40x = 745,354.20 × 308,723.60
  4. Step 4: Simplify right side
    497,680.40x = 230,108,431,899.12
  5. Step 5: Solve for x
    x = 230,108,431,899.12/497,680.40
  6. Step 6: Final answer
    x = 462,361.85

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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.