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Finding the Fourth Proportional to 256,973.17, 385,238.08 and 123,670.03

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Solution

The fourth proportional to 256,973.17, 385,238.08 and 123,670.03 is: 185,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,973.17 : 385,238.08 = 123,670.03 : x
  2. Step 2: Convert to fraction form
    256,973.17/385,238.08 = 123,670.03/x
  3. Step 3: Cross multiply
    256,973.17x = 385,238.08 × 123,670.03
  4. Step 4: Simplify right side
    256,973.17x = 47,642,404,910.74
  5. Step 5: Solve for x
    x = 47,642,404,910.74/256,973.17
  6. Step 6: Final answer
    x = 185,398.36

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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.