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Finding the Fourth Proportional to 402,323.94, 555,204.78 and 221,031.90

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Solution

The fourth proportional to 402,323.94, 555,204.78 and 221,031.90 is: 305,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,323.94 : 555,204.78 = 221,031.90 : x
  2. Step 2: Convert to fraction form
    402,323.94/555,204.78 = 221,031.90/x
  3. Step 3: Cross multiply
    402,323.94x = 555,204.78 × 221,031.90
  4. Step 4: Simplify right side
    402,323.94x = 122,717,967,412.48
  5. Step 5: Solve for x
    x = 122,717,967,412.48/402,323.94
  6. Step 6: Final answer
    x = 305,022.78

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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.