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Finding the Fourth Proportional to 279,464.68, 385,649.16 and 152,140.72

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Solution

The fourth proportional to 279,464.68, 385,649.16 and 152,140.72 is: 209,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,464.68 : 385,649.16 = 152,140.72 : x
  2. Step 2: Convert to fraction form
    279,464.68/385,649.16 = 152,140.72/x
  3. Step 3: Cross multiply
    279,464.68x = 385,649.16 × 152,140.72
  4. Step 4: Simplify right side
    279,464.68x = 58,672,940,869.80
  5. Step 5: Solve for x
    x = 58,672,940,869.80/279,464.68
  6. Step 6: Final answer
    x = 209,947.61

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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.