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Finding the Fourth Proportional to 402,708.78, 555,744.51 and 221,428.62

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Solution

The fourth proportional to 402,708.78, 555,744.51 and 221,428.62 is: 305,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,708.78 : 555,744.51 = 221,428.62 : x
  2. Step 2: Convert to fraction form
    402,708.78/555,744.51 = 221,428.62/x
  3. Step 3: Cross multiply
    402,708.78x = 555,744.51 × 221,428.62
  4. Step 4: Simplify right side
    402,708.78x = 123,057,739,921.88
  5. Step 5: Solve for x
    x = 123,057,739,921.88/402,708.78
  6. Step 6: Final answer
    x = 305,575.01

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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.