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Finding the Fourth Proportional to 256,301.10, 384,451.65 and 98,534.70

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Solution

The fourth proportional to 256,301.10, 384,451.65 and 98,534.70 is: 147,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,301.10 : 384,451.65 = 98,534.70 : x
  2. Step 2: Convert to fraction form
    256,301.10/384,451.65 = 98,534.70/x
  3. Step 3: Cross multiply
    256,301.10x = 384,451.65 × 98,534.70
  4. Step 4: Simplify right side
    256,301.10x = 37,881,827,997.26
  5. Step 5: Solve for x
    x = 37,881,827,997.26/256,301.10
  6. Step 6: Final answer
    x = 147,802.05

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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.