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Finding the Fourth Proportional to 567,459.85, 783,099.92 and 312,820.15

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Solution

The fourth proportional to 567,459.85, 783,099.92 and 312,820.15 is: 431,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,459.85 : 783,099.92 = 312,820.15 : x
  2. Step 2: Convert to fraction form
    567,459.85/783,099.92 = 312,820.15/x
  3. Step 3: Cross multiply
    567,459.85x = 783,099.92 × 312,820.15
  4. Step 4: Simplify right side
    567,459.85x = 244,969,434,439.39
  5. Step 5: Solve for x
    x = 244,969,434,439.39/567,459.85
  6. Step 6: Final answer
    x = 431,694.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.