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Finding the Fourth Proportional to 361,643.60, 542,465.40 and 322,936.40

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Solution

The fourth proportional to 361,643.60, 542,465.40 and 322,936.40 is: 484,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,643.60 : 542,465.40 = 322,936.40 : x
  2. Step 2: Convert to fraction form
    361,643.60/542,465.40 = 322,936.40/x
  3. Step 3: Cross multiply
    361,643.60x = 542,465.40 × 322,936.40
  4. Step 4: Simplify right side
    361,643.60x = 175,181,823,400.56
  5. Step 5: Solve for x
    x = 175,181,823,400.56/361,643.60
  6. Step 6: Final answer
    x = 484,404.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.