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Finding the Fourth Proportional to 359,854.80, 496,643.36 and 208,951.80

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Solution

The fourth proportional to 359,854.80, 496,643.36 and 208,951.80 is: 288,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,854.80 : 496,643.36 = 208,951.80 : x
  2. Step 2: Convert to fraction form
    359,854.80/496,643.36 = 208,951.80/x
  3. Step 3: Cross multiply
    359,854.80x = 496,643.36 × 208,951.80
  4. Step 4: Simplify right side
    359,854.80x = 103,774,524,030.05
  5. Step 5: Solve for x
    x = 103,774,524,030.05/359,854.80
  6. Step 6: Final answer
    x = 288,378.88

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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.