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Finding the Fourth Proportional to 340,454.54, 469,721.43 and 193,254.86

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Solution

The fourth proportional to 340,454.54, 469,721.43 and 193,254.86 is: 266,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,454.54 : 469,721.43 = 193,254.86 : x
  2. Step 2: Convert to fraction form
    340,454.54/469,721.43 = 193,254.86/x
  3. Step 3: Cross multiply
    340,454.54x = 469,721.43 × 193,254.86
  4. Step 4: Simplify right side
    340,454.54x = 90,775,950,367.95
  5. Step 5: Solve for x
    x = 90,775,950,367.95/340,454.54
  6. Step 6: Final answer
    x = 266,631.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.