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Finding the Fourth Proportional to 391,709.25, 540,724.11 and 264,557.07

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Solution

The fourth proportional to 391,709.25, 540,724.11 and 264,557.07 is: 365,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,709.25 : 540,724.11 = 264,557.07 : x
  2. Step 2: Convert to fraction form
    391,709.25/540,724.11 = 264,557.07/x
  3. Step 3: Cross multiply
    391,709.25x = 540,724.11 × 264,557.07
  4. Step 4: Simplify right side
    391,709.25x = 143,052,386,219.96
  5. Step 5: Solve for x
    x = 143,052,386,219.96/391,709.25
  6. Step 6: Final answer
    x = 365,200.43

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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.