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Finding the Fourth Proportional to 359,158.40, 495,642.24 and 198,019.21

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Solution

The fourth proportional to 359,158.40, 495,642.24 and 198,019.21 is: 273,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,158.40 : 495,642.24 = 198,019.21 : x
  2. Step 2: Convert to fraction form
    359,158.40/495,642.24 = 198,019.21/x
  3. Step 3: Cross multiply
    359,158.40x = 495,642.24 × 198,019.21
  4. Step 4: Simplify right side
    359,158.40x = 98,146,683,103.66
  5. Step 5: Solve for x
    x = 98,146,683,103.66/359,158.40
  6. Step 6: Final answer
    x = 273,268.51

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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.