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Finding the Fourth Proportional to 326,647.47, 490,034.40 and 113,423.07

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Solution

The fourth proportional to 326,647.47, 490,034.40 and 113,423.07 is: 170,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,647.47 : 490,034.40 = 113,423.07 : x
  2. Step 2: Convert to fraction form
    326,647.47/490,034.40 = 113,423.07/x
  3. Step 3: Cross multiply
    326,647.47x = 490,034.40 × 113,423.07
  4. Step 4: Simplify right side
    326,647.47x = 55,581,206,053.61
  5. Step 5: Solve for x
    x = 55,581,206,053.61/326,647.47
  6. Step 6: Final answer
    x = 170,156.55

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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.