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Finding the Fourth Proportional to 538,722.57, 743,470.65 and 297,004.78

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Solution

The fourth proportional to 538,722.57, 743,470.65 and 297,004.78 is: 409,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,722.57 : 743,470.65 = 297,004.78 : x
  2. Step 2: Convert to fraction form
    538,722.57/743,470.65 = 297,004.78/x
  3. Step 3: Cross multiply
    538,722.57x = 743,470.65 × 297,004.78
  4. Step 4: Simplify right side
    538,722.57x = 220,814,333,587.02
  5. Step 5: Solve for x
    x = 220,814,333,587.02/538,722.57
  6. Step 6: Final answer
    x = 409,885.06

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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.