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Finding the Fourth Proportional to 402,614.34, 555,614.64 and 221,333.82

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Solution

The fourth proportional to 402,614.34, 555,614.64 and 221,333.82 is: 305,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,614.34 : 555,614.64 = 221,333.82 : x
  2. Step 2: Convert to fraction form
    402,614.34/555,614.64 = 221,333.82/x
  3. Step 3: Cross multiply
    402,614.34x = 555,614.64 × 221,333.82
  4. Step 4: Simplify right side
    402,614.34x = 122,976,310,719.13
  5. Step 5: Solve for x
    x = 122,976,310,719.13/402,614.34
  6. Step 6: Final answer
    x = 305,444.44

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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.