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Finding the Fourth Proportional to 359,281.80, 495,812.42 and 198,143.40

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Solution

The fourth proportional to 359,281.80, 495,812.42 and 198,143.40 is: 273,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,281.80 : 495,812.42 = 198,143.40 : x
  2. Step 2: Convert to fraction form
    359,281.80/495,812.42 = 198,143.40/x
  3. Step 3: Cross multiply
    359,281.80x = 495,812.42 × 198,143.40
  4. Step 4: Simplify right side
    359,281.80x = 98,241,958,661.03
  5. Step 5: Solve for x
    x = 98,241,958,661.03/359,281.80
  6. Step 6: Final answer
    x = 273,439.84

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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.