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Finding the Fourth Proportional to 359,034.24, 495,380.16 and 215,904

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Solution

The fourth proportional to 359,034.24, 495,380.16 and 215,904 is: 297,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,034.24 : 495,380.16 = 215,904 : x
  2. Step 2: Convert to fraction form
    359,034.24/495,380.16 = 215,904/x
  3. Step 3: Cross multiply
    359,034.24x = 495,380.16 × 215,904
  4. Step 4: Simplify right side
    359,034.24x = 106,954,558,064.64
  5. Step 5: Solve for x
    x = 106,954,558,064.64/359,034.24
  6. Step 6: Final answer
    x = 297,895.15

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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.