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Finding the Fourth Proportional to 256,436.16, 384,707.70 and 78,934.38

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Solution

The fourth proportional to 256,436.16, 384,707.70 and 78,934.38 is: 118,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,436.16 : 384,707.70 = 78,934.38 : x
  2. Step 2: Convert to fraction form
    256,436.16/384,707.70 = 78,934.38/x
  3. Step 3: Cross multiply
    256,436.16x = 384,707.70 × 78,934.38
  4. Step 4: Simplify right side
    256,436.16x = 30,366,663,780.73
  5. Step 5: Solve for x
    x = 30,366,663,780.73/256,436.16
  6. Step 6: Final answer
    x = 118,418.03

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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.