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Finding the Fourth Proportional to 256,583.10, 384,838.20 and 88,111.20

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Solution

The fourth proportional to 256,583.10, 384,838.20 and 88,111.20 is: 132,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,583.10 : 384,838.20 = 88,111.20 : x
  2. Step 2: Convert to fraction form
    256,583.10/384,838.20 = 88,111.20/x
  3. Step 3: Cross multiply
    256,583.10x = 384,838.20 × 88,111.20
  4. Step 4: Simplify right side
    256,583.10x = 33,908,555,607.84
  5. Step 5: Solve for x
    x = 33,908,555,607.84/256,583.10
  6. Step 6: Final answer
    x = 132,154.28

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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.