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Finding the Fourth Proportional to 382,410.68, 527,739.52 and 210,335.90

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Solution

The fourth proportional to 382,410.68, 527,739.52 and 210,335.90 is: 290,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,410.68 : 527,739.52 = 210,335.90 : x
  2. Step 2: Convert to fraction form
    382,410.68/527,739.52 = 210,335.90/x
  3. Step 3: Cross multiply
    382,410.68x = 527,739.52 × 210,335.90
  4. Step 4: Simplify right side
    382,410.68x = 111,002,566,904.77
  5. Step 5: Solve for x
    x = 111,002,566,904.77/382,410.68
  6. Step 6: Final answer
    x = 290,270.57

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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.