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Finding the Fourth Proportional to 538,357.25, 807,256.52 and 159,228.15

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Solution

The fourth proportional to 538,357.25, 807,256.52 and 159,228.15 is: 238,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,357.25 : 807,256.52 = 159,228.15 : x
  2. Step 2: Convert to fraction form
    538,357.25/807,256.52 = 159,228.15/x
  3. Step 3: Cross multiply
    538,357.25x = 807,256.52 × 159,228.15
  4. Step 4: Simplify right side
    538,357.25x = 128,537,962,255.04
  5. Step 5: Solve for x
    x = 128,537,962,255.04/538,357.25
  6. Step 6: Final answer
    x = 238,759.60

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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.