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Finding the Fourth Proportional to 268,407, 402,612.93 and 81,418.50

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Solution

The fourth proportional to 268,407, 402,612.93 and 81,418.50 is: 122,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,407 : 402,612.93 = 81,418.50 : x
  2. Step 2: Convert to fraction form
    268,407/402,612.93 = 81,418.50/x
  3. Step 3: Cross multiply
    268,407x = 402,612.93 × 81,418.50
  4. Step 4: Simplify right side
    268,407x = 32,780,140,841.21
  5. Step 5: Solve for x
    x = 32,780,140,841.21/268,407
  6. Step 6: Final answer
    x = 122,128.49

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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.