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Finding the Fourth Proportional to 359,403.87, 495,977.37 and 198,259.33

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Solution

The fourth proportional to 359,403.87, 495,977.37 and 198,259.33 is: 273,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,403.87 : 495,977.37 = 198,259.33 : x
  2. Step 2: Convert to fraction form
    359,403.87/495,977.37 = 198,259.33/x
  3. Step 3: Cross multiply
    359,403.87x = 495,977.37 × 198,259.33
  4. Step 4: Simplify right side
    359,403.87x = 98,332,139,831.42
  5. Step 5: Solve for x
    x = 98,332,139,831.42/359,403.87
  6. Step 6: Final answer
    x = 273,597.89

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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.