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Finding the Fourth Proportional to 647,872.54, 894,065.54 and 361,411.18

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Solution

The fourth proportional to 647,872.54, 894,065.54 and 361,411.18 is: 498,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,872.54 : 894,065.54 = 361,411.18 : x
  2. Step 2: Convert to fraction form
    647,872.54/894,065.54 = 361,411.18/x
  3. Step 3: Cross multiply
    647,872.54x = 894,065.54 × 361,411.18
  4. Step 4: Simplify right side
    647,872.54x = 323,125,275,531.35
  5. Step 5: Solve for x
    x = 323,125,275,531.35/647,872.54
  6. Step 6: Final answer
    x = 498,748.22

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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.