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Finding the Fourth Proportional to 486,096.78, 729,145.20 and 153,672.78

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Solution

The fourth proportional to 486,096.78, 729,145.20 and 153,672.78 is: 230,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,096.78 : 729,145.20 = 153,672.78 : x
  2. Step 2: Convert to fraction form
    486,096.78/729,145.20 = 153,672.78/x
  3. Step 3: Cross multiply
    486,096.78x = 729,145.20 × 153,672.78
  4. Step 4: Simplify right side
    486,096.78x = 112,049,769,907.66
  5. Step 5: Solve for x
    x = 112,049,769,907.66/486,096.78
  6. Step 6: Final answer
    x = 230,509.18

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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.