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Finding the Fourth Proportional to 359,552.40, 496,281 and 208,698

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Solution

The fourth proportional to 359,552.40, 496,281 and 208,698 is: 288,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,552.40 : 496,281 = 208,698 : x
  2. Step 2: Convert to fraction form
    359,552.40/496,281 = 208,698/x
  3. Step 3: Cross multiply
    359,552.40x = 496,281 × 208,698
  4. Step 4: Simplify right side
    359,552.40x = 103,572,852,138
  5. Step 5: Solve for x
    x = 103,572,852,138/359,552.40
  6. Step 6: Final answer
    x = 288,060.52

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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.