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Finding the Fourth Proportional to 359,913.44, 496,680.55 and 209,020.16

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Solution

The fourth proportional to 359,913.44, 496,680.55 and 209,020.16 is: 288,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,913.44 : 496,680.55 = 209,020.16 : x
  2. Step 2: Convert to fraction form
    359,913.44/496,680.55 = 209,020.16/x
  3. Step 3: Cross multiply
    359,913.44x = 496,680.55 × 209,020.16
  4. Step 4: Simplify right side
    359,913.44x = 103,816,248,029.89
  5. Step 5: Solve for x
    x = 103,816,248,029.89/359,913.44
  6. Step 6: Final answer
    x = 288,447.82

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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.