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Finding the Fourth Proportional to 472,268.80, 708,403.20 and 191,987.20

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Solution

The fourth proportional to 472,268.80, 708,403.20 and 191,987.20 is: 287,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,268.80 : 708,403.20 = 191,987.20 : x
  2. Step 2: Convert to fraction form
    472,268.80/708,403.20 = 191,987.20/x
  3. Step 3: Cross multiply
    472,268.80x = 708,403.20 × 191,987.20
  4. Step 4: Simplify right side
    472,268.80x = 136,004,346,839.04
  5. Step 5: Solve for x
    x = 136,004,346,839.04/472,268.80
  6. Step 6: Final answer
    x = 287,980.80

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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.