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Finding the Fourth Proportional to 566,082, 781,193.16 and 311,427.72

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Solution

The fourth proportional to 566,082, 781,193.16 and 311,427.72 is: 429,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,082 : 781,193.16 = 311,427.72 : x
  2. Step 2: Convert to fraction form
    566,082/781,193.16 = 311,427.72/x
  3. Step 3: Cross multiply
    566,082x = 781,193.16 × 311,427.72
  4. Step 4: Simplify right side
    566,082x = 243,285,204,698.40
  5. Step 5: Solve for x
    x = 243,285,204,698.40/566,082
  6. Step 6: Final answer
    x = 429,770.25

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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.