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Finding the Fourth Proportional to 359,971.44, 496,821.48 and 209,155.92

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Solution

The fourth proportional to 359,971.44, 496,821.48 and 209,155.92 is: 288,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,971.44 : 496,821.48 = 209,155.92 : x
  2. Step 2: Convert to fraction form
    359,971.44/496,821.48 = 209,155.92/x
  3. Step 3: Cross multiply
    359,971.44x = 496,821.48 × 209,155.92
  4. Step 4: Simplify right side
    359,971.44x = 103,913,153,725.16
  5. Step 5: Solve for x
    x = 103,913,153,725.16/359,971.44
  6. Step 6: Final answer
    x = 288,670.55

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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.