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Finding the Fourth Proportional to 643,784, 888,421.92 and 361,160

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Solution

The fourth proportional to 643,784, 888,421.92 and 361,160 is: 498,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,784 : 888,421.92 = 361,160 : x
  2. Step 2: Convert to fraction form
    643,784/888,421.92 = 361,160/x
  3. Step 3: Cross multiply
    643,784x = 888,421.92 × 361,160
  4. Step 4: Simplify right side
    643,784x = 320,862,460,627.20
  5. Step 5: Solve for x
    x = 320,862,460,627.20/643,784
  6. Step 6: Final answer
    x = 498,400.80

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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.