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Finding the Fourth Proportional to 538,257.59, 807,382.34 and 138,864.41

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Solution

The fourth proportional to 538,257.59, 807,382.34 and 138,864.41 is: 208,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,257.59 : 807,382.34 = 138,864.41 : x
  2. Step 2: Convert to fraction form
    538,257.59/807,382.34 = 138,864.41/x
  3. Step 3: Cross multiply
    538,257.59x = 807,382.34 × 138,864.41
  4. Step 4: Simplify right side
    538,257.59x = 112,116,671,594.20
  5. Step 5: Solve for x
    x = 112,116,671,594.20/538,257.59
  6. Step 6: Final answer
    x = 208,295.57

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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.