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Finding the Fourth Proportional to 486,458.40, 729,687.60 and 170,947.20

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Solution

The fourth proportional to 486,458.40, 729,687.60 and 170,947.20 is: 256,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,458.40 : 729,687.60 = 170,947.20 : x
  2. Step 2: Convert to fraction form
    486,458.40/729,687.60 = 170,947.20/x
  3. Step 3: Cross multiply
    486,458.40x = 729,687.60 × 170,947.20
  4. Step 4: Simplify right side
    486,458.40x = 124,738,052,094.72
  5. Step 5: Solve for x
    x = 124,738,052,094.72/486,458.40
  6. Step 6: Final answer
    x = 256,420.80

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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.