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Finding the Fourth Proportional to 486,713.60, 729,947.16 and 145,078.19

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Solution

The fourth proportional to 486,713.60, 729,947.16 and 145,078.19 is: 217,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,713.60 : 729,947.16 = 145,078.19 : x
  2. Step 2: Convert to fraction form
    486,713.60/729,947.16 = 145,078.19/x
  3. Step 3: Cross multiply
    486,713.60x = 729,947.16 × 145,078.19
  4. Step 4: Simplify right side
    486,713.60x = 105,899,412,768.44
  5. Step 5: Solve for x
    x = 105,899,412,768.44/486,713.60
  6. Step 6: Final answer
    x = 217,580.55

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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.