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Finding the Fourth Proportional to 359,868, 496,661.58 and 208,965

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Solution

The fourth proportional to 359,868, 496,661.58 and 208,965 is: 288,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,868 : 496,661.58 = 208,965 : x
  2. Step 2: Convert to fraction form
    359,868/496,661.58 = 208,965/x
  3. Step 3: Cross multiply
    359,868x = 496,661.58 × 208,965
  4. Step 4: Simplify right side
    359,868x = 103,784,887,064.70
  5. Step 5: Solve for x
    x = 103,784,887,064.70/359,868
  6. Step 6: Final answer
    x = 288,397.10

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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.