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Finding the Fourth Proportional to 256,409.56, 384,307.13 and 119,448.08

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Solution

The fourth proportional to 256,409.56, 384,307.13 and 119,448.08 is: 179,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,409.56 : 384,307.13 = 119,448.08 : x
  2. Step 2: Convert to fraction form
    256,409.56/384,307.13 = 119,448.08/x
  3. Step 3: Cross multiply
    256,409.56x = 384,307.13 × 119,448.08
  4. Step 4: Simplify right side
    256,409.56x = 45,904,750,005.51
  5. Step 5: Solve for x
    x = 45,904,750,005.51/256,409.56
  6. Step 6: Final answer
    x = 179,029.01

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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.