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Finding the Fourth Proportional to 683,881.20, 1,023,978.60 and 495,874.80

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Solution

The fourth proportional to 683,881.20, 1,023,978.60 and 495,874.80 is: 742,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,881.20 : 1,023,978.60 = 495,874.80 : x
  2. Step 2: Convert to fraction form
    683,881.20/1,023,978.60 = 495,874.80/x
  3. Step 3: Cross multiply
    683,881.20x = 1,023,978.60 × 495,874.80
  4. Step 4: Simplify right side
    683,881.20x = 507,765,183,479.28
  5. Step 5: Solve for x
    x = 507,765,183,479.28/683,881.20
  6. Step 6: Final answer
    x = 742,475.72

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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.