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Finding the Fourth Proportional to 431,678.40, 647,536.80 and 147,364.80

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Solution

The fourth proportional to 431,678.40, 647,536.80 and 147,364.80 is: 221,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,678.40 : 647,536.80 = 147,364.80 : x
  2. Step 2: Convert to fraction form
    431,678.40/647,536.80 = 147,364.80/x
  3. Step 3: Cross multiply
    431,678.40x = 647,536.80 × 147,364.80
  4. Step 4: Simplify right side
    431,678.40x = 95,424,131,024.64
  5. Step 5: Solve for x
    x = 95,424,131,024.64/431,678.40
  6. Step 6: Final answer
    x = 221,053.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.