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Finding the Fourth Proportional to 387,974.98, 535,400.34 and 218,209.11

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Solution

The fourth proportional to 387,974.98, 535,400.34 and 218,209.11 is: 301,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,974.98 : 535,400.34 = 218,209.11 : x
  2. Step 2: Convert to fraction form
    387,974.98/535,400.34 = 218,209.11/x
  3. Step 3: Cross multiply
    387,974.98x = 535,400.34 × 218,209.11
  4. Step 4: Simplify right side
    387,974.98x = 116,829,231,685.10
  5. Step 5: Solve for x
    x = 116,829,231,685.10/387,974.98
  6. Step 6: Final answer
    x = 301,125.69

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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.