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Finding the Fourth Proportional to 267,004.40, 400,444.28 and 77,413.88

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Solution

The fourth proportional to 267,004.40, 400,444.28 and 77,413.88 is: 116,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,004.40 : 400,444.28 = 77,413.88 : x
  2. Step 2: Convert to fraction form
    267,004.40/400,444.28 = 77,413.88/x
  3. Step 3: Cross multiply
    267,004.40x = 400,444.28 × 77,413.88
  4. Step 4: Simplify right side
    267,004.40x = 30,999,945,438.61
  5. Step 5: Solve for x
    x = 30,999,945,438.61/267,004.40
  6. Step 6: Final answer
    x = 116,102.75

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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.