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Finding the Fourth Proportional to 486,502.98, 729,456.39 and 170,996.10

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Solution

The fourth proportional to 486,502.98, 729,456.39 and 170,996.10 is: 256,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,502.98 : 729,456.39 = 170,996.10 : x
  2. Step 2: Convert to fraction form
    486,502.98/729,456.39 = 170,996.10/x
  3. Step 3: Cross multiply
    486,502.98x = 729,456.39 × 170,996.10
  4. Step 4: Simplify right side
    486,502.98x = 124,734,197,810.08
  5. Step 5: Solve for x
    x = 124,734,197,810.08/486,502.98
  6. Step 6: Final answer
    x = 256,389.38

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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.