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Finding the Fourth Proportional to 633,468.10, 874,184.52 and 343,078.78

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Solution

The fourth proportional to 633,468.10, 874,184.52 and 343,078.78 is: 473,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,468.10 : 874,184.52 = 343,078.78 : x
  2. Step 2: Convert to fraction form
    633,468.10/874,184.52 = 343,078.78/x
  3. Step 3: Cross multiply
    633,468.10x = 874,184.52 × 343,078.78
  4. Step 4: Simplify right side
    633,468.10x = 299,914,158,616.49
  5. Step 5: Solve for x
    x = 299,914,158,616.49/633,468.10
  6. Step 6: Final answer
    x = 473,447.93

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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.