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Finding the Fourth Proportional to 256,160.88, 384,259.77 and 98,389.32

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Solution

The fourth proportional to 256,160.88, 384,259.77 and 98,389.32 is: 147,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,160.88 : 384,259.77 = 98,389.32 : x
  2. Step 2: Convert to fraction form
    256,160.88/384,259.77 = 98,389.32/x
  3. Step 3: Cross multiply
    256,160.88x = 384,259.77 × 98,389.32
  4. Step 4: Simplify right side
    256,160.88x = 37,807,057,473.66
  5. Step 5: Solve for x
    x = 37,807,057,473.66/256,160.88
  6. Step 6: Final answer
    x = 147,591.07

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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.