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Finding the Fourth Proportional to 359,910, 496,675.80 and 209,016.72

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Solution

The fourth proportional to 359,910, 496,675.80 and 209,016.72 is: 288,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,910 : 496,675.80 = 209,016.72 : x
  2. Step 2: Convert to fraction form
    359,910/496,675.80 = 209,016.72/x
  3. Step 3: Cross multiply
    359,910x = 496,675.80 × 209,016.72
  4. Step 4: Simplify right side
    359,910x = 103,813,546,619.38
  5. Step 5: Solve for x
    x = 103,813,546,619.38/359,910
  6. Step 6: Final answer
    x = 288,443.07

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1.5x scale

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.