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Finding the Fourth Proportional to 377,511.72, 520,959.44 and 205,423.83

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Solution

The fourth proportional to 377,511.72, 520,959.44 and 205,423.83 is: 283,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,511.72 : 520,959.44 = 205,423.83 : x
  2. Step 2: Convert to fraction form
    377,511.72/520,959.44 = 205,423.83/x
  3. Step 3: Cross multiply
    377,511.72x = 520,959.44 × 205,423.83
  4. Step 4: Simplify right side
    377,511.72x = 107,017,482,412.34
  5. Step 5: Solve for x
    x = 107,017,482,412.34/377,511.72
  6. Step 6: Final answer
    x = 283,481.22

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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.