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Finding the Fourth Proportional to 256,964.78, 385,225.51 and 123,661.66

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Solution

The fourth proportional to 256,964.78, 385,225.51 and 123,661.66 is: 185,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,964.78 : 385,225.51 = 123,661.66 : x
  2. Step 2: Convert to fraction form
    256,964.78/385,225.51 = 123,661.66/x
  3. Step 3: Cross multiply
    256,964.78x = 385,225.51 × 123,661.66
  4. Step 4: Simplify right side
    256,964.78x = 47,637,626,040.95
  5. Step 5: Solve for x
    x = 47,637,626,040.95/256,964.78
  6. Step 6: Final answer
    x = 185,385.82

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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.