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Finding the Fourth Proportional to 393,064.30, 542,451 and 297,404.92

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Solution

The fourth proportional to 393,064.30, 542,451 and 297,404.92 is: 410,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,064.30 : 542,451 = 297,404.92 : x
  2. Step 2: Convert to fraction form
    393,064.30/542,451 = 297,404.92/x
  3. Step 3: Cross multiply
    393,064.30x = 542,451 × 297,404.92
  4. Step 4: Simplify right side
    393,064.30x = 161,327,596,258.92
  5. Step 5: Solve for x
    x = 161,327,596,258.92/393,064.30
  6. Step 6: Final answer
    x = 410,435.64

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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.