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Finding the Fourth Proportional to 538,533.76, 806,914.86 and 426,931.24

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Solution

The fourth proportional to 538,533.76, 806,914.86 and 426,931.24 is: 639,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,533.76 : 806,914.86 = 426,931.24 : x
  2. Step 2: Convert to fraction form
    538,533.76/806,914.86 = 426,931.24/x
  3. Step 3: Cross multiply
    538,533.76x = 806,914.86 × 426,931.24
  4. Step 4: Simplify right side
    538,533.76x = 344,497,161,754.23
  5. Step 5: Solve for x
    x = 344,497,161,754.23/538,533.76
  6. Step 6: Final answer
    x = 639,694.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.