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Finding the Fourth Proportional to 389,801, 537,925.38 and 210,953

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Solution

The fourth proportional to 389,801, 537,925.38 and 210,953 is: 291,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,801 : 537,925.38 = 210,953 : x
  2. Step 2: Convert to fraction form
    389,801/537,925.38 = 210,953/x
  3. Step 3: Cross multiply
    389,801x = 537,925.38 × 210,953
  4. Step 4: Simplify right side
    389,801x = 113,476,972,687.14
  5. Step 5: Solve for x
    x = 113,476,972,687.14/389,801
  6. Step 6: Final answer
    x = 291,115.14

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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.