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Finding the Fourth Proportional to 390,196.38, 584,842.77 and 179,391.90

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Solution

The fourth proportional to 390,196.38, 584,842.77 and 179,391.90 is: 268,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,196.38 : 584,842.77 = 179,391.90 : x
  2. Step 2: Convert to fraction form
    390,196.38/584,842.77 = 179,391.90/x
  3. Step 3: Cross multiply
    390,196.38x = 584,842.77 × 179,391.90
  4. Step 4: Simplify right side
    390,196.38x = 104,916,055,711.56
  5. Step 5: Solve for x
    x = 104,916,055,711.56/390,196.38
  6. Step 6: Final answer
    x = 268,880.14

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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.