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Finding the Fourth Proportional to 522,810.90, 783,179.55 and 311,822.10

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Solution

The fourth proportional to 522,810.90, 783,179.55 and 311,822.10 is: 467,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,810.90 : 783,179.55 = 311,822.10 : x
  2. Step 2: Convert to fraction form
    522,810.90/783,179.55 = 311,822.10/x
  3. Step 3: Cross multiply
    522,810.90x = 783,179.55 × 311,822.10
  4. Step 4: Simplify right side
    522,810.90x = 244,212,691,958.06
  5. Step 5: Solve for x
    x = 244,212,691,958.06/522,810.90
  6. Step 6: Final answer
    x = 467,114.77

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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.