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Finding the Fourth Proportional to 228,886.74, 343,264.50 and 68,978.16

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Solution

The fourth proportional to 228,886.74, 343,264.50 and 68,978.16 is: 103,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,886.74 : 343,264.50 = 68,978.16 : x
  2. Step 2: Convert to fraction form
    228,886.74/343,264.50 = 68,978.16/x
  3. Step 3: Cross multiply
    228,886.74x = 343,264.50 × 68,978.16
  4. Step 4: Simplify right side
    228,886.74x = 23,677,753,603.32
  5. Step 5: Solve for x
    x = 23,677,753,603.32/228,886.74
  6. Step 6: Final answer
    x = 103,447.47

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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.