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Finding the Fourth Proportional to 262,394.10, 393,603.57 and 84,915

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Solution

The fourth proportional to 262,394.10, 393,603.57 and 84,915 is: 127,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,394.10 : 393,603.57 = 84,915 : x
  2. Step 2: Convert to fraction form
    262,394.10/393,603.57 = 84,915/x
  3. Step 3: Cross multiply
    262,394.10x = 393,603.57 × 84,915
  4. Step 4: Simplify right side
    262,394.10x = 33,422,847,146.55
  5. Step 5: Solve for x
    x = 33,422,847,146.55/262,394.10
  6. Step 6: Final answer
    x = 127,376.52

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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.