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Finding the Fourth Proportional to 807,135, 1,113,846.30 and 467,800.08

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Solution

The fourth proportional to 807,135, 1,113,846.30 and 467,800.08 is: 645,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,135 : 1,113,846.30 = 467,800.08 : x
  2. Step 2: Convert to fraction form
    807,135/1,113,846.30 = 467,800.08/x
  3. Step 3: Cross multiply
    807,135x = 1,113,846.30 × 467,800.08
  4. Step 4: Simplify right side
    807,135x = 521,057,388,247.70
  5. Step 5: Solve for x
    x = 521,057,388,247.70/807,135
  6. Step 6: Final answer
    x = 645,564.11

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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.