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Finding the Fourth Proportional to 397,966.56, 549,232.56 and 297,189.60

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Solution

The fourth proportional to 397,966.56, 549,232.56 and 297,189.60 is: 410,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,966.56 : 549,232.56 = 297,189.60 : x
  2. Step 2: Convert to fraction form
    397,966.56/549,232.56 = 297,189.60/x
  3. Step 3: Cross multiply
    397,966.56x = 549,232.56 × 297,189.60
  4. Step 4: Simplify right side
    397,966.56x = 163,226,204,813.38
  5. Step 5: Solve for x
    x = 163,226,204,813.38/397,966.56
  6. Step 6: Final answer
    x = 410,150.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.