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Finding the Fourth Proportional to 297,476.40, 410,515.12 and 161,507.64

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Solution

The fourth proportional to 297,476.40, 410,515.12 and 161,507.64 is: 222,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,476.40 : 410,515.12 = 161,507.64 : x
  2. Step 2: Convert to fraction form
    297,476.40/410,515.12 = 161,507.64/x
  3. Step 3: Cross multiply
    297,476.40x = 410,515.12 × 161,507.64
  4. Step 4: Simplify right side
    297,476.40x = 66,301,328,215.52
  5. Step 5: Solve for x
    x = 66,301,328,215.52/297,476.40
  6. Step 6: Final answer
    x = 222,879.29

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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.