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Finding the Fourth Proportional to 391,106, 539,726.28 and 212,258

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Solution

The fourth proportional to 391,106, 539,726.28 and 212,258 is: 292,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,106 : 539,726.28 = 212,258 : x
  2. Step 2: Convert to fraction form
    391,106/539,726.28 = 212,258/x
  3. Step 3: Cross multiply
    391,106x = 539,726.28 × 212,258
  4. Step 4: Simplify right side
    391,106x = 114,561,220,740.24
  5. Step 5: Solve for x
    x = 114,561,220,740.24/391,106
  6. Step 6: Final answer
    x = 292,916.04

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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.