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Finding the Fourth Proportional to 577,872.90, 866,810.57 and 311,758.74

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Solution

The fourth proportional to 577,872.90, 866,810.57 and 311,758.74 is: 467,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,872.90 : 866,810.57 = 311,758.74 : x
  2. Step 2: Convert to fraction form
    577,872.90/866,810.57 = 311,758.74/x
  3. Step 3: Cross multiply
    577,872.90x = 866,810.57 × 311,758.74
  4. Step 4: Simplify right side
    577,872.90x = 270,235,769,563.09
  5. Step 5: Solve for x
    x = 270,235,769,563.09/577,872.90
  6. Step 6: Final answer
    x = 467,638.77

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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.