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Finding the Fourth Proportional to 359,179.20, 495,633.60 and 208,260

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Solution

The fourth proportional to 359,179.20, 495,633.60 and 208,260 is: 287,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,179.20 : 495,633.60 = 208,260 : x
  2. Step 2: Convert to fraction form
    359,179.20/495,633.60 = 208,260/x
  3. Step 3: Cross multiply
    359,179.20x = 495,633.60 × 208,260
  4. Step 4: Simplify right side
    359,179.20x = 103,220,653,536
  5. Step 5: Solve for x
    x = 103,220,653,536/359,179.20
  6. Step 6: Final answer
    x = 287,379.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.