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Finding the Fourth Proportional to 256,454.56, 384,726.12 and 114,350.32

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Solution

The fourth proportional to 256,454.56, 384,726.12 and 114,350.32 is: 171,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,454.56 : 384,726.12 = 114,350.32 : x
  2. Step 2: Convert to fraction form
    256,454.56/384,726.12 = 114,350.32/x
  3. Step 3: Cross multiply
    256,454.56x = 384,726.12 × 114,350.32
  4. Step 4: Simplify right side
    256,454.56x = 43,993,554,934.36
  5. Step 5: Solve for x
    x = 43,993,554,934.36/256,454.56
  6. Step 6: Final answer
    x = 171,545.22

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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.