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Finding the Fourth Proportional to 538,478.55, 807,726.26 and 159,437.74

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Solution

The fourth proportional to 538,478.55, 807,726.26 and 159,437.74 is: 239,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,478.55 : 807,726.26 = 159,437.74 : x
  2. Step 2: Convert to fraction form
    538,478.55/807,726.26 = 159,437.74/x
  3. Step 3: Cross multiply
    538,478.55x = 807,726.26 × 159,437.74
  4. Step 4: Simplify right side
    538,478.55x = 128,782,046,616.55
  5. Step 5: Solve for x
    x = 128,782,046,616.55/538,478.55
  6. Step 6: Final answer
    x = 239,159.10

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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.