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Finding the Fourth Proportional to 516,812.64, 775,335.96 and 179,869.20

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Solution

The fourth proportional to 516,812.64, 775,335.96 and 179,869.20 is: 269,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,812.64 : 775,335.96 = 179,869.20 : x
  2. Step 2: Convert to fraction form
    516,812.64/775,335.96 = 179,869.20/x
  3. Step 3: Cross multiply
    516,812.64x = 775,335.96 × 179,869.20
  4. Step 4: Simplify right side
    516,812.64x = 139,459,058,856.43
  5. Step 5: Solve for x
    x = 139,459,058,856.43/516,812.64
  6. Step 6: Final answer
    x = 269,844.52

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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.