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Finding the Fourth Proportional to 419,019.54, 578,260.08 and 237,739.11

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Solution

The fourth proportional to 419,019.54, 578,260.08 and 237,739.11 is: 328,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,019.54 : 578,260.08 = 237,739.11 : x
  2. Step 2: Convert to fraction form
    419,019.54/578,260.08 = 237,739.11/x
  3. Step 3: Cross multiply
    419,019.54x = 578,260.08 × 237,739.11
  4. Step 4: Simplify right side
    419,019.54x = 137,475,036,767.73
  5. Step 5: Solve for x
    x = 137,475,036,767.73/419,019.54
  6. Step 6: Final answer
    x = 328,087.41

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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.