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Finding the Fourth Proportional to 478,847.89, 717,787.05 and 310,474.81

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Solution

The fourth proportional to 478,847.89, 717,787.05 and 310,474.81 is: 465,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,847.89 : 717,787.05 = 310,474.81 : x
  2. Step 2: Convert to fraction form
    478,847.89/717,787.05 = 310,474.81/x
  3. Step 3: Cross multiply
    478,847.89x = 717,787.05 × 310,474.81
  4. Step 4: Simplify right side
    478,847.89x = 222,854,797,969.21
  5. Step 5: Solve for x
    x = 222,854,797,969.21/478,847.89
  6. Step 6: Final answer
    x = 465,397.89

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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.