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Finding the Fourth Proportional to 391,258, 539,941.64 and 227,910.31

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Solution

The fourth proportional to 391,258, 539,941.64 and 227,910.31 is: 314,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,258 : 539,941.64 = 227,910.31 : x
  2. Step 2: Convert to fraction form
    391,258/539,941.64 = 227,910.31/x
  3. Step 3: Cross multiply
    391,258x = 539,941.64 × 227,910.31
  4. Step 4: Simplify right side
    391,258x = 123,058,266,554.31
  5. Step 5: Solve for x
    x = 123,058,266,554.31/391,258
  6. Step 6: Final answer
    x = 314,519.49

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1.5x scale

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.