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Finding the Fourth Proportional to 256,152.30, 384,228.45 and 252,215.70

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Solution

The fourth proportional to 256,152.30, 384,228.45 and 252,215.70 is: 378,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,152.30 : 384,228.45 = 252,215.70 : x
  2. Step 2: Convert to fraction form
    256,152.30/384,228.45 = 252,215.70/x
  3. Step 3: Cross multiply
    256,152.30x = 384,228.45 × 252,215.70
  4. Step 4: Simplify right side
    256,152.30x = 96,908,447,476.67
  5. Step 5: Solve for x
    x = 96,908,447,476.67/256,152.30
  6. Step 6: Final answer
    x = 378,323.55

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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.