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Finding the Fourth Proportional to 268,322.95, 402,498.21 and 68,645.06

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Solution

The fourth proportional to 268,322.95, 402,498.21 and 68,645.06 is: 102,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,322.95 : 402,498.21 = 68,645.06 : x
  2. Step 2: Convert to fraction form
    268,322.95/402,498.21 = 68,645.06/x
  3. Step 3: Cross multiply
    268,322.95x = 402,498.21 × 68,645.06
  4. Step 4: Simplify right side
    268,322.95x = 27,629,513,432.12
  5. Step 5: Solve for x
    x = 27,629,513,432.12/268,322.95
  6. Step 6: Final answer
    x = 102,971.12

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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.