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Finding the Fourth Proportional to 256,228.34, 384,578.76 and 129,957.20

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Solution

The fourth proportional to 256,228.34, 384,578.76 and 129,957.20 is: 195,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,228.34 : 384,578.76 = 129,957.20 : x
  2. Step 2: Convert to fraction form
    256,228.34/384,578.76 = 129,957.20/x
  3. Step 3: Cross multiply
    256,228.34x = 384,578.76 × 129,957.20
  4. Step 4: Simplify right side
    256,228.34x = 49,978,778,829.07
  5. Step 5: Solve for x
    x = 49,978,778,829.07/256,228.34
  6. Step 6: Final answer
    x = 195,055.62

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1.5x scale

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.