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Finding the Fourth Proportional to 486,065.10, 729,097.65 and 170,408.10

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Solution

The fourth proportional to 486,065.10, 729,097.65 and 170,408.10 is: 255,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,065.10 : 729,097.65 = 170,408.10 : x
  2. Step 2: Convert to fraction form
    486,065.10/729,097.65 = 170,408.10/x
  3. Step 3: Cross multiply
    486,065.10x = 729,097.65 × 170,408.10
  4. Step 4: Simplify right side
    486,065.10x = 124,244,145,250.97
  5. Step 5: Solve for x
    x = 124,244,145,250.97/486,065.10
  6. Step 6: Final answer
    x = 255,612.15

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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.