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Finding the Fourth Proportional to 419,047.29, 578,346.21 and 235,306.47

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Solution

The fourth proportional to 419,047.29, 578,346.21 and 235,306.47 is: 324,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,047.29 : 578,346.21 = 235,306.47 : x
  2. Step 2: Convert to fraction form
    419,047.29/578,346.21 = 235,306.47/x
  3. Step 3: Cross multiply
    419,047.29x = 578,346.21 × 235,306.47
  4. Step 4: Simplify right side
    419,047.29x = 136,088,605,112.98
  5. Step 5: Solve for x
    x = 136,088,605,112.98/419,047.29
  6. Step 6: Final answer
    x = 324,757.15

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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.