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Finding the Fourth Proportional to 577,590.12, 866,409.75 and 178,222.05

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Solution

The fourth proportional to 577,590.12, 866,409.75 and 178,222.05 is: 267,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,590.12 : 866,409.75 = 178,222.05 : x
  2. Step 2: Convert to fraction form
    577,590.12/866,409.75 = 178,222.05/x
  3. Step 3: Cross multiply
    577,590.12x = 866,409.75 × 178,222.05
  4. Step 4: Simplify right side
    577,590.12x = 154,413,321,784.99
  5. Step 5: Solve for x
    x = 154,413,321,784.99/577,590.12
  6. Step 6: Final answer
    x = 267,340.66

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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.