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Finding the Fourth Proportional to 511,641.28, 767,463.36 and 179,139.52

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Solution

The fourth proportional to 511,641.28, 767,463.36 and 179,139.52 is: 268,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,641.28 : 767,463.36 = 179,139.52 : x
  2. Step 2: Convert to fraction form
    511,641.28/767,463.36 = 179,139.52/x
  3. Step 3: Cross multiply
    511,641.28x = 767,463.36 × 179,139.52
  4. Step 4: Simplify right side
    511,641.28x = 137,483,017,927.99
  5. Step 5: Solve for x
    x = 137,483,017,927.99/511,641.28
  6. Step 6: Final answer
    x = 268,709.78

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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.