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Finding the Fourth Proportional to 256,282.80, 384,424.20 and 123,130.95

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Solution

The fourth proportional to 256,282.80, 384,424.20 and 123,130.95 is: 184,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,282.80 : 384,424.20 = 123,130.95 : x
  2. Step 2: Convert to fraction form
    256,282.80/384,424.20 = 123,130.95/x
  3. Step 3: Cross multiply
    256,282.80x = 384,424.20 × 123,130.95
  4. Step 4: Simplify right side
    256,282.80x = 47,334,516,948.99
  5. Step 5: Solve for x
    x = 47,334,516,948.99/256,282.80
  6. Step 6: Final answer
    x = 184,696.43

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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.