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Finding the Fourth Proportional to 256,322.39, 384,265.47 and 156,552.57

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Solution

The fourth proportional to 256,322.39, 384,265.47 and 156,552.57 is: 234,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,322.39 : 384,265.47 = 156,552.57 : x
  2. Step 2: Convert to fraction form
    256,322.39/384,265.47 = 156,552.57/x
  3. Step 3: Cross multiply
    256,322.39x = 384,265.47 × 156,552.57
  4. Step 4: Simplify right side
    256,322.39x = 60,157,747,477.83
  5. Step 5: Solve for x
    x = 60,157,747,477.83/256,322.39
  6. Step 6: Final answer
    x = 234,695.65

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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.