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Finding the Fourth Proportional to 254,950.30, 382,413.30 and 86,454.10

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Solution

The fourth proportional to 254,950.30, 382,413.30 and 86,454.10 is: 129,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,950.30 : 382,413.30 = 86,454.10 : x
  2. Step 2: Convert to fraction form
    254,950.30/382,413.30 = 86,454.10/x
  3. Step 3: Cross multiply
    254,950.30x = 382,413.30 × 86,454.10
  4. Step 4: Simplify right side
    254,950.30x = 33,061,197,679.53
  5. Step 5: Solve for x
    x = 33,061,197,679.53/254,950.30
  6. Step 6: Final answer
    x = 129,677.03

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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.