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Finding the Fourth Proportional to 613,957.10, 921,083.12 and 234,871.64

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Solution

The fourth proportional to 613,957.10, 921,083.12 and 234,871.64 is: 352,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,957.10 : 921,083.12 = 234,871.64 : x
  2. Step 2: Convert to fraction form
    613,957.10/921,083.12 = 234,871.64/x
  3. Step 3: Cross multiply
    613,957.10x = 921,083.12 × 234,871.64
  4. Step 4: Simplify right side
    613,957.10x = 216,336,297,190.94
  5. Step 5: Solve for x
    x = 216,336,297,190.94/613,957.10
  6. Step 6: Final answer
    x = 352,363.87

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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.