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Finding the Fourth Proportional to 256,665.72, 384,999.30 and 151,339.80

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Solution

The fourth proportional to 256,665.72, 384,999.30 and 151,339.80 is: 227,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,665.72 : 384,999.30 = 151,339.80 : x
  2. Step 2: Convert to fraction form
    256,665.72/384,999.30 = 151,339.80/x
  3. Step 3: Cross multiply
    256,665.72x = 384,999.30 × 151,339.80
  4. Step 4: Simplify right side
    256,665.72x = 58,265,717,062.14
  5. Step 5: Solve for x
    x = 58,265,717,062.14/256,665.72
  6. Step 6: Final answer
    x = 227,010.12

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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.