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Finding the Fourth Proportional to 256,873.40, 385,420.36 and 99,212.57

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Solution

The fourth proportional to 256,873.40, 385,420.36 and 99,212.57 is: 148,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,873.40 : 385,420.36 = 99,212.57 : x
  2. Step 2: Convert to fraction form
    256,873.40/385,420.36 = 99,212.57/x
  3. Step 3: Cross multiply
    256,873.40x = 385,420.36 × 99,212.57
  4. Step 4: Simplify right side
    256,873.40x = 38,238,544,445.93
  5. Step 5: Solve for x
    x = 38,238,544,445.93/256,873.40
  6. Step 6: Final answer
    x = 148,861.44

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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.