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Finding the Fourth Proportional to 256,902.18, 385,356.15 and 114,754.74

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Solution

The fourth proportional to 256,902.18, 385,356.15 and 114,754.74 is: 172,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,902.18 : 385,356.15 = 114,754.74 : x
  2. Step 2: Convert to fraction form
    256,902.18/385,356.15 = 114,754.74/x
  3. Step 3: Cross multiply
    256,902.18x = 385,356.15 × 114,754.74
  4. Step 4: Simplify right side
    256,902.18x = 44,221,444,800.65
  5. Step 5: Solve for x
    x = 44,221,444,800.65/256,902.18
  6. Step 6: Final answer
    x = 172,133.40

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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.