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Finding the Fourth Proportional to 274,656.30, 412,291.65 and 256,608.30

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Solution

The fourth proportional to 274,656.30, 412,291.65 and 256,608.30 is: 385,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656.30 : 412,291.65 = 256,608.30 : x
  2. Step 2: Convert to fraction form
    274,656.30/412,291.65 = 256,608.30/x
  3. Step 3: Cross multiply
    274,656.30x = 412,291.65 × 256,608.30
  4. Step 4: Simplify right side
    274,656.30x = 105,797,459,410.70
  5. Step 5: Solve for x
    x = 105,797,459,410.70/274,656.30
  6. Step 6: Final answer
    x = 385,199.46

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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.