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Finding the Fourth Proportional to 359,934, 496,708.96 and 209,040.72

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Solution

The fourth proportional to 359,934, 496,708.96 and 209,040.72 is: 288,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,934 : 496,708.96 = 209,040.72 : x
  2. Step 2: Convert to fraction form
    359,934/496,708.96 = 209,040.72/x
  3. Step 3: Cross multiply
    359,934x = 496,708.96 × 209,040.72
  4. Step 4: Simplify right side
    359,934x = 103,832,398,628.85
  5. Step 5: Solve for x
    x = 103,832,398,628.85/359,934
  6. Step 6: Final answer
    x = 288,476.22

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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.