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Finding the Fourth Proportional to 378,870.60, 522,840.34 and 209,103.50

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Solution

The fourth proportional to 378,870.60, 522,840.34 and 209,103.50 is: 288,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,870.60 : 522,840.34 = 209,103.50 : x
  2. Step 2: Convert to fraction form
    378,870.60/522,840.34 = 209,103.50/x
  3. Step 3: Cross multiply
    378,870.60x = 522,840.34 × 209,103.50
  4. Step 4: Simplify right side
    378,870.60x = 109,327,745,035.19
  5. Step 5: Solve for x
    x = 109,327,745,035.19/378,870.60
  6. Step 6: Final answer
    x = 288,562.23

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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.