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Finding the Fourth Proportional to 359,430.68, 496,015.97 and 198,285.71

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Solution

The fourth proportional to 359,430.68, 496,015.97 and 198,285.71 is: 273,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,430.68 : 496,015.97 = 198,285.71 : x
  2. Step 2: Convert to fraction form
    359,430.68/496,015.97 = 198,285.71/x
  3. Step 3: Cross multiply
    359,430.68x = 496,015.97 × 198,285.71
  4. Step 4: Simplify right side
    359,430.68x = 98,352,875,311.28
  5. Step 5: Solve for x
    x = 98,352,875,311.28/359,430.68
  6. Step 6: Final answer
    x = 273,635.17

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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.