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Finding the Fourth Proportional to 391,593.72, 540,426.06 and 221,829.24

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Solution

The fourth proportional to 391,593.72, 540,426.06 and 221,829.24 is: 306,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,593.72 : 540,426.06 = 221,829.24 : x
  2. Step 2: Convert to fraction form
    391,593.72/540,426.06 = 221,829.24/x
  3. Step 3: Cross multiply
    391,593.72x = 540,426.06 × 221,829.24
  4. Step 4: Simplify right side
    391,593.72x = 119,882,302,165.99
  5. Step 5: Solve for x
    x = 119,882,302,165.99/391,593.72
  6. Step 6: Final answer
    x = 306,139.49

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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.