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Finding the Fourth Proportional to 402,993.09, 604,467.76 and 122,488.47

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Solution

The fourth proportional to 402,993.09, 604,467.76 and 122,488.47 is: 183,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,993.09 : 604,467.76 = 122,488.47 : x
  2. Step 2: Convert to fraction form
    402,993.09/604,467.76 = 122,488.47/x
  3. Step 3: Cross multiply
    402,993.09x = 604,467.76 × 122,488.47
  4. Step 4: Simplify right side
    402,993.09x = 74,040,331,086.73
  5. Step 5: Solve for x
    x = 74,040,331,086.73/402,993.09
  6. Step 6: Final answer
    x = 183,726.06

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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.