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Finding the Fourth Proportional to 340,301.44, 510,413.28 and 91,002.88

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Solution

The fourth proportional to 340,301.44, 510,413.28 and 91,002.88 is: 136,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,301.44 : 510,413.28 = 91,002.88 : x
  2. Step 2: Convert to fraction form
    340,301.44/510,413.28 = 91,002.88/x
  3. Step 3: Cross multiply
    340,301.44x = 510,413.28 × 91,002.88
  4. Step 4: Simplify right side
    340,301.44x = 46,449,078,470.25
  5. Step 5: Solve for x
    x = 46,449,078,470.25/340,301.44
  6. Step 6: Final answer
    x = 136,493.92

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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.