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Finding the Fourth Proportional to 538,740.52, 743,427.66 and 297,009.88

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Solution

The fourth proportional to 538,740.52, 743,427.66 and 297,009.88 is: 409,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,740.52 : 743,427.66 = 297,009.88 : x
  2. Step 2: Convert to fraction form
    538,740.52/743,427.66 = 297,009.88/x
  3. Step 3: Cross multiply
    538,740.52x = 743,427.66 × 297,009.88
  4. Step 4: Simplify right side
    538,740.52x = 220,805,360,085.28
  5. Step 5: Solve for x
    x = 220,805,360,085.28/538,740.52
  6. Step 6: Final answer
    x = 409,854.75

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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.