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Finding the Fourth Proportional to 256,927.94, 385,428.66 and 79,448.64

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Solution

The fourth proportional to 256,927.94, 385,428.66 and 79,448.64 is: 119,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,927.94 : 385,428.66 = 79,448.64 : x
  2. Step 2: Convert to fraction form
    256,927.94/385,428.66 = 79,448.64/x
  3. Step 3: Cross multiply
    256,927.94x = 385,428.66 × 79,448.64
  4. Step 4: Simplify right side
    256,927.94x = 30,621,782,854.02
  5. Step 5: Solve for x
    x = 30,621,782,854.02/256,927.94
  6. Step 6: Final answer
    x = 119,184.32

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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.