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Finding the Fourth Proportional to 541,458.12, 747,221 and 296,438.72

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Solution

The fourth proportional to 541,458.12, 747,221 and 296,438.72 is: 409,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,458.12 : 747,221 = 296,438.72 : x
  2. Step 2: Convert to fraction form
    541,458.12/747,221 = 296,438.72/x
  3. Step 3: Cross multiply
    541,458.12x = 747,221 × 296,438.72
  4. Step 4: Simplify right side
    541,458.12x = 221,505,236,797.12
  5. Step 5: Solve for x
    x = 221,505,236,797.12/541,458.12
  6. Step 6: Final answer
    x = 409,090.25

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Double scale
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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.