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Finding the Fourth Proportional to 541,538.64, 747,217.44 and 340,218

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Solution

The fourth proportional to 541,538.64, 747,217.44 and 340,218 is: 469,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,538.64 : 747,217.44 = 340,218 : x
  2. Step 2: Convert to fraction form
    541,538.64/747,217.44 = 340,218/x
  3. Step 3: Cross multiply
    541,538.64x = 747,217.44 × 340,218
  4. Step 4: Simplify right side
    541,538.64x = 254,216,823,001.92
  5. Step 5: Solve for x
    x = 254,216,823,001.92/541,538.64
  6. Step 6: Final answer
    x = 469,434.32

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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.