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Finding the Fourth Proportional to 395,959.86, 546,417.90 and 223,874.96

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Solution

The fourth proportional to 395,959.86, 546,417.90 and 223,874.96 is: 308,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,959.86 : 546,417.90 = 223,874.96 : x
  2. Step 2: Convert to fraction form
    395,959.86/546,417.90 = 223,874.96/x
  3. Step 3: Cross multiply
    395,959.86x = 546,417.90 × 223,874.96
  4. Step 4: Simplify right side
    395,959.86x = 122,329,282,773.70
  5. Step 5: Solve for x
    x = 122,329,282,773.70/395,959.86
  6. Step 6: Final answer
    x = 308,943.65

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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.