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Finding the Fourth Proportional to 387,565.77, 534,846.99 and 213,142.87

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Solution

The fourth proportional to 387,565.77, 534,846.99 and 213,142.87 is: 294,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,565.77 : 534,846.99 = 213,142.87 : x
  2. Step 2: Convert to fraction form
    387,565.77/534,846.99 = 213,142.87/x
  3. Step 3: Cross multiply
    387,565.77x = 534,846.99 × 213,142.87
  4. Step 4: Simplify right side
    387,565.77x = 113,998,821,393.75
  5. Step 5: Solve for x
    x = 113,998,821,393.75/387,565.77
  6. Step 6: Final answer
    x = 294,140.58

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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.