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Finding the Fourth Proportional to 268,316.88, 402,463.32 and 78,769.68

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Solution

The fourth proportional to 268,316.88, 402,463.32 and 78,769.68 is: 118,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,316.88 : 402,463.32 = 78,769.68 : x
  2. Step 2: Convert to fraction form
    268,316.88/402,463.32 = 78,769.68/x
  3. Step 3: Cross multiply
    268,316.88x = 402,463.32 × 78,769.68
  4. Step 4: Simplify right side
    268,316.88x = 31,701,906,928.14
  5. Step 5: Solve for x
    x = 31,701,906,928.14/268,316.88
  6. Step 6: Final answer
    x = 118,151.00

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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.