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Finding the Fourth Proportional to 390,347.38, 585,069.27 and 179,542.90

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Solution

The fourth proportional to 390,347.38, 585,069.27 and 179,542.90 is: 269,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,347.38 : 585,069.27 = 179,542.90 : x
  2. Step 2: Convert to fraction form
    390,347.38/585,069.27 = 179,542.90/x
  3. Step 3: Cross multiply
    390,347.38x = 585,069.27 × 179,542.90
  4. Step 4: Simplify right side
    390,347.38x = 105,045,033,436.68
  5. Step 5: Solve for x
    x = 105,045,033,436.68/390,347.38
  6. Step 6: Final answer
    x = 269,106.54

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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.