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Finding the Fourth Proportional to 419,336.94, 578,679.25 and 238,047.28

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Solution

The fourth proportional to 419,336.94, 578,679.25 and 238,047.28 is: 328,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,336.94 : 578,679.25 = 238,047.28 : x
  2. Step 2: Convert to fraction form
    419,336.94/578,679.25 = 238,047.28/x
  3. Step 3: Cross multiply
    419,336.94x = 578,679.25 × 238,047.28
  4. Step 4: Simplify right side
    419,336.94x = 137,753,021,454.94
  5. Step 5: Solve for x
    x = 137,753,021,454.94/419,336.94
  6. Step 6: Final answer
    x = 328,502.00

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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.