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Finding the Fourth Proportional to 431,764.05, 647,641.53 and 147,451.35

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Solution

The fourth proportional to 431,764.05, 647,641.53 and 147,451.35 is: 221,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,764.05 : 647,641.53 = 147,451.35 : x
  2. Step 2: Convert to fraction form
    431,764.05/647,641.53 = 147,451.35/x
  3. Step 3: Cross multiply
    431,764.05x = 647,641.53 × 147,451.35
  4. Step 4: Simplify right side
    431,764.05x = 95,495,617,914.57
  5. Step 5: Solve for x
    x = 95,495,617,914.57/431,764.05
  6. Step 6: Final answer
    x = 221,175.47

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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.