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Finding the Fourth Proportional to 359,202, 495,743.76 and 206,288.16

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Solution

The fourth proportional to 359,202, 495,743.76 and 206,288.16 is: 284,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,202 : 495,743.76 = 206,288.16 : x
  2. Step 2: Convert to fraction form
    359,202/495,743.76 = 206,288.16/x
  3. Step 3: Cross multiply
    359,202x = 495,743.76 × 206,288.16
  4. Step 4: Simplify right side
    359,202x = 102,266,068,081.88
  5. Step 5: Solve for x
    x = 102,266,068,081.88/359,202
  6. Step 6: Final answer
    x = 284,703.50

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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.