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Finding the Fourth Proportional to 256,643, 385,124.88 and 123,537.32

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Solution

The fourth proportional to 256,643, 385,124.88 and 123,537.32 is: 185,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643 : 385,124.88 = 123,537.32 : x
  2. Step 2: Convert to fraction form
    256,643/385,124.88 = 123,537.32/x
  3. Step 3: Cross multiply
    256,643x = 385,124.88 × 123,537.32
  4. Step 4: Simplify right side
    256,643x = 47,577,295,540.52
  5. Step 5: Solve for x
    x = 47,577,295,540.52/256,643
  6. Step 6: Final answer
    x = 185,383.18

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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.