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Finding the Fourth Proportional to 419,434.59, 578,846.07 and 238,077.48

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Solution

The fourth proportional to 419,434.59, 578,846.07 and 238,077.48 is: 328,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,434.59 : 578,846.07 = 238,077.48 : x
  2. Step 2: Convert to fraction form
    419,434.59/578,846.07 = 238,077.48/x
  3. Step 3: Cross multiply
    419,434.59x = 578,846.07 × 238,077.48
  4. Step 4: Simplify right side
    419,434.59x = 137,810,213,653.50
  5. Step 5: Solve for x
    x = 137,810,213,653.50/419,434.59
  6. Step 6: Final answer
    x = 328,561.87

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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.