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Finding the Fourth Proportional to 391,106.40, 539,726.82 and 212,258.40

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Solution

The fourth proportional to 391,106.40, 539,726.82 and 212,258.40 is: 292,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,106.40 : 539,726.82 = 212,258.40 : x
  2. Step 2: Convert to fraction form
    391,106.40/539,726.82 = 212,258.40/x
  3. Step 3: Cross multiply
    391,106.40x = 539,726.82 × 212,258.40
  4. Step 4: Simplify right side
    391,106.40x = 114,561,551,250.29
  5. Step 5: Solve for x
    x = 114,561,551,250.29/391,106.40
  6. Step 6: Final answer
    x = 292,916.59

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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.