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Finding the Fourth Proportional to 256,812.70, 385,284.66 and 98,998.78

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Solution

The fourth proportional to 256,812.70, 385,284.66 and 98,998.78 is: 148,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,812.70 : 385,284.66 = 98,998.78 : x
  2. Step 2: Convert to fraction form
    256,812.70/385,284.66 = 98,998.78/x
  3. Step 3: Cross multiply
    256,812.70x = 385,284.66 × 98,998.78
  4. Step 4: Simplify right side
    256,812.70x = 38,142,711,292.71
  5. Step 5: Solve for x
    x = 38,142,711,292.71/256,812.70
  6. Step 6: Final answer
    x = 148,523.46

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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.