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Finding the Fourth Proportional to 402,719.76, 555,755.40 and 221,443.40

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Solution

The fourth proportional to 402,719.76, 555,755.40 and 221,443.40 is: 305,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,719.76 : 555,755.40 = 221,443.40 : x
  2. Step 2: Convert to fraction form
    402,719.76/555,755.40 = 221,443.40/x
  3. Step 3: Cross multiply
    402,719.76x = 555,755.40 × 221,443.40
  4. Step 4: Simplify right side
    402,719.76x = 123,068,365,344.36
  5. Step 5: Solve for x
    x = 123,068,365,344.36/402,719.76
  6. Step 6: Final answer
    x = 305,593.06

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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.