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Finding the Fourth Proportional to 580,354.80, 870,006.96 and 206,290.32

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Solution

The fourth proportional to 580,354.80, 870,006.96 and 206,290.32 is: 309,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,354.80 : 870,006.96 = 206,290.32 : x
  2. Step 2: Convert to fraction form
    580,354.80/870,006.96 = 206,290.32/x
  3. Step 3: Cross multiply
    580,354.80x = 870,006.96 × 206,290.32
  4. Step 4: Simplify right side
    580,354.80x = 179,474,014,180.63
  5. Step 5: Solve for x
    x = 179,474,014,180.63/580,354.80
  6. Step 6: Final answer
    x = 309,248.78

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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.