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Finding the Fourth Proportional to 538,901.70, 743,689.53 and 297,192.84

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Solution

The fourth proportional to 538,901.70, 743,689.53 and 297,192.84 is: 410,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,901.70 : 743,689.53 = 297,192.84 : x
  2. Step 2: Convert to fraction form
    538,901.70/743,689.53 = 297,192.84/x
  3. Step 3: Cross multiply
    538,901.70x = 743,689.53 × 297,192.84
  4. Step 4: Simplify right side
    538,901.70x = 221,019,203,498.97
  5. Step 5: Solve for x
    x = 221,019,203,498.97/538,901.70
  6. Step 6: Final answer
    x = 410,128.98

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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.