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Finding the Fourth Proportional to 359,120.82, 495,590.10 and 197,981.64

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Solution

The fourth proportional to 359,120.82, 495,590.10 and 197,981.64 is: 273,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,120.82 : 495,590.10 = 197,981.64 : x
  2. Step 2: Convert to fraction form
    359,120.82/495,590.10 = 197,981.64/x
  3. Step 3: Cross multiply
    359,120.82x = 495,590.10 × 197,981.64
  4. Step 4: Simplify right side
    359,120.82x = 98,117,740,765.76
  5. Step 5: Solve for x
    x = 98,117,740,765.76/359,120.82
  6. Step 6: Final answer
    x = 273,216.52

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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.