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Finding the Fourth Proportional to 402,820.54, 555,881.24 and 221,532.47

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Solution

The fourth proportional to 402,820.54, 555,881.24 and 221,532.47 is: 305,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,820.54 : 555,881.24 = 221,532.47 : x
  2. Step 2: Convert to fraction form
    402,820.54/555,881.24 = 221,532.47/x
  3. Step 3: Cross multiply
    402,820.54x = 555,881.24 × 221,532.47
  4. Step 4: Simplify right side
    402,820.54x = 123,145,741,898.29
  5. Step 5: Solve for x
    x = 123,145,741,898.29/402,820.54
  6. Step 6: Final answer
    x = 305,708.70

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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.