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Finding the Fourth Proportional to 390,208.80, 584,632.80 and 179,414.40

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Solution

The fourth proportional to 390,208.80, 584,632.80 and 179,414.40 is: 268,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,208.80 : 584,632.80 = 179,414.40 : x
  2. Step 2: Convert to fraction form
    390,208.80/584,632.80 = 179,414.40/x
  3. Step 3: Cross multiply
    390,208.80x = 584,632.80 × 179,414.40
  4. Step 4: Simplify right side
    390,208.80x = 104,891,543,032.32
  5. Step 5: Solve for x
    x = 104,891,543,032.32/390,208.80
  6. Step 6: Final answer
    x = 268,808.76

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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.