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Finding the Fourth Proportional to 256,295.24, 384,298.85 and 106,434.71

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Solution

The fourth proportional to 256,295.24, 384,298.85 and 106,434.71 is: 159,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,295.24 : 384,298.85 = 106,434.71 : x
  2. Step 2: Convert to fraction form
    256,295.24/384,298.85 = 106,434.71/x
  3. Step 3: Cross multiply
    256,295.24x = 384,298.85 × 106,434.71
  4. Step 4: Simplify right side
    256,295.24x = 40,902,734,199.42
  5. Step 5: Solve for x
    x = 40,902,734,199.42/256,295.24
  6. Step 6: Final answer
    x = 159,592.25

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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.