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Finding the Fourth Proportional to 369,840.86, 510,375.40 and 206,499.88

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Solution

The fourth proportional to 369,840.86, 510,375.40 and 206,499.88 is: 284,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,840.86 : 510,375.40 = 206,499.88 : x
  2. Step 2: Convert to fraction form
    369,840.86/510,375.40 = 206,499.88/x
  3. Step 3: Cross multiply
    369,840.86x = 510,375.40 × 206,499.88
  4. Step 4: Simplify right side
    369,840.86x = 105,392,458,854.95
  5. Step 5: Solve for x
    x = 105,392,458,854.95/369,840.86
  6. Step 6: Final answer
    x = 284,967.05

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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.