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Finding the Fourth Proportional to 359,394.48, 495,965.77 and 198,247.21

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Solution

The fourth proportional to 359,394.48, 495,965.77 and 198,247.21 is: 273,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,394.48 : 495,965.77 = 198,247.21 : x
  2. Step 2: Convert to fraction form
    359,394.48/495,965.77 = 198,247.21/x
  3. Step 3: Cross multiply
    359,394.48x = 495,965.77 × 198,247.21
  4. Step 4: Simplify right side
    359,394.48x = 98,323,828,422.47
  5. Step 5: Solve for x
    x = 98,323,828,422.47/359,394.48
  6. Step 6: Final answer
    x = 273,581.91

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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.