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Finding the Fourth Proportional to 256,046.49, 353,344.55 and 142,869.51

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Solution

The fourth proportional to 256,046.49, 353,344.55 and 142,869.51 is: 197,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,046.49 : 353,344.55 = 142,869.51 : x
  2. Step 2: Convert to fraction form
    256,046.49/353,344.55 = 142,869.51/x
  3. Step 3: Cross multiply
    256,046.49x = 353,344.55 × 142,869.51
  4. Step 4: Simplify right side
    256,046.49x = 50,482,162,005.32
  5. Step 5: Solve for x
    x = 50,482,162,005.32/256,046.49
  6. Step 6: Final answer
    x = 197,160.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.