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Finding the Fourth Proportional to 402,461.88, 555,370.54 and 221,169.92

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Solution

The fourth proportional to 402,461.88, 555,370.54 and 221,169.92 is: 305,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,461.88 : 555,370.54 = 221,169.92 : x
  2. Step 2: Convert to fraction form
    402,461.88/555,370.54 = 221,169.92/x
  3. Step 3: Cross multiply
    402,461.88x = 555,370.54 × 221,169.92
  4. Step 4: Simplify right side
    402,461.88x = 122,831,257,902.16
  5. Step 5: Solve for x
    x = 122,831,257,902.16/402,461.88
  6. Step 6: Final answer
    x = 305,199.73

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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.