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Finding the Fourth Proportional to 256,047.75, 384,090.08 and 98,276.20

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Solution

The fourth proportional to 256,047.75, 384,090.08 and 98,276.20 is: 147,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,047.75 : 384,090.08 = 98,276.20 : x
  2. Step 2: Convert to fraction form
    256,047.75/384,090.08 = 98,276.20/x
  3. Step 3: Cross multiply
    256,047.75x = 384,090.08 × 98,276.20
  4. Step 4: Simplify right side
    256,047.75x = 37,746,913,520.10
  5. Step 5: Solve for x
    x = 37,746,913,520.10/256,047.75
  6. Step 6: Final answer
    x = 147,421.38

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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.