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Finding the Fourth Proportional to 256,701.60, 384,994.80 and 123,513.84

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Solution

The fourth proportional to 256,701.60, 384,994.80 and 123,513.84 is: 185,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,701.60 : 384,994.80 = 123,513.84 : x
  2. Step 2: Convert to fraction form
    256,701.60/384,994.80 = 123,513.84/x
  3. Step 3: Cross multiply
    256,701.60x = 384,994.80 × 123,513.84
  4. Step 4: Simplify right side
    256,701.60x = 47,552,186,128.03
  5. Step 5: Solve for x
    x = 47,552,186,128.03/256,701.60
  6. Step 6: Final answer
    x = 185,243.05

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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.