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Finding the Fourth Proportional to 359,708.48, 496,320.72 and 208,724.48

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Solution

The fourth proportional to 359,708.48, 496,320.72 and 208,724.48 is: 287,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,708.48 : 496,320.72 = 208,724.48 : x
  2. Step 2: Convert to fraction form
    359,708.48/496,320.72 = 208,724.48/x
  3. Step 3: Cross multiply
    359,708.48x = 496,320.72 × 208,724.48
  4. Step 4: Simplify right side
    359,708.48x = 103,594,284,195.23
  5. Step 5: Solve for x
    x = 103,594,284,195.23/359,708.48
  6. Step 6: Final answer
    x = 287,995.11

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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.