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Finding the Fourth Proportional to 387,872.10, 535,327.11 and 226,695.69

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Solution

The fourth proportional to 387,872.10, 535,327.11 and 226,695.69 is: 312,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,872.10 : 535,327.11 = 226,695.69 : x
  2. Step 2: Convert to fraction form
    387,872.10/535,327.11 = 226,695.69/x
  3. Step 3: Cross multiply
    387,872.10x = 535,327.11 × 226,695.69
  4. Step 4: Simplify right side
    387,872.10x = 121,356,348,577.16
  5. Step 5: Solve for x
    x = 121,356,348,577.16/387,872.10
  6. Step 6: Final answer
    x = 312,877.23

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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.