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Finding the Fourth Proportional to 538,392.64, 743,006.88 and 312,109.12

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Solution

The fourth proportional to 538,392.64, 743,006.88 and 312,109.12 is: 430,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,392.64 : 743,006.88 = 312,109.12 : x
  2. Step 2: Convert to fraction form
    538,392.64/743,006.88 = 312,109.12/x
  3. Step 3: Cross multiply
    538,392.64x = 743,006.88 × 312,109.12
  4. Step 4: Simplify right side
    538,392.64x = 231,899,223,470.75
  5. Step 5: Solve for x
    x = 231,899,223,470.75/538,392.64
  6. Step 6: Final answer
    x = 430,725.10

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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.