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Finding the Fourth Proportional to 659,231, 988,260.06 and 238,413.32

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Solution

The fourth proportional to 659,231, 988,260.06 and 238,413.32 is: 357,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,231 : 988,260.06 = 238,413.32 : x
  2. Step 2: Convert to fraction form
    659,231/988,260.06 = 238,413.32/x
  3. Step 3: Cross multiply
    659,231x = 988,260.06 × 238,413.32
  4. Step 4: Simplify right side
    659,231x = 235,614,361,928.00
  5. Step 5: Solve for x
    x = 235,614,361,928.00/659,231
  6. Step 6: Final answer
    x = 357,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.