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Finding the Fourth Proportional to 359,513.13, 496,138.51 and 198,378.56

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Solution

The fourth proportional to 359,513.13, 496,138.51 and 198,378.56 is: 273,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,513.13 : 496,138.51 = 198,378.56 : x
  2. Step 2: Convert to fraction form
    359,513.13/496,138.51 = 198,378.56/x
  3. Step 3: Cross multiply
    359,513.13x = 496,138.51 × 198,378.56
  4. Step 4: Simplify right side
    359,513.13x = 98,423,239,701.76
  5. Step 5: Solve for x
    x = 98,423,239,701.76/359,513.13
  6. Step 6: Final answer
    x = 273,768.14

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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.