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Finding the Fourth Proportional to 518,057.60, 777,616.45 and 427,812.87

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Solution

The fourth proportional to 518,057.60, 777,616.45 and 427,812.87 is: 642,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,057.60 : 777,616.45 = 427,812.87 : x
  2. Step 2: Convert to fraction form
    518,057.60/777,616.45 = 427,812.87/x
  3. Step 3: Cross multiply
    518,057.60x = 777,616.45 × 427,812.87
  4. Step 4: Simplify right side
    518,057.60x = 332,674,324,164.18
  5. Step 5: Solve for x
    x = 332,674,324,164.18/518,057.60
  6. Step 6: Final answer
    x = 642,157.02

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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.