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Finding the Fourth Proportional to 256,538.24, 384,909.42 and 98,724.32

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Solution

The fourth proportional to 256,538.24, 384,909.42 and 98,724.32 is: 148,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,538.24 : 384,909.42 = 98,724.32 : x
  2. Step 2: Convert to fraction form
    256,538.24/384,909.42 = 98,724.32/x
  3. Step 3: Cross multiply
    256,538.24x = 384,909.42 × 98,724.32
  4. Step 4: Simplify right side
    256,538.24x = 37,999,920,751.09
  5. Step 5: Solve for x
    x = 37,999,920,751.09/256,538.24
  6. Step 6: Final answer
    x = 148,125.76

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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.