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Finding the Fourth Proportional to 288,960.80, 433,268.40 and 148,992.80

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Solution

The fourth proportional to 288,960.80, 433,268.40 and 148,992.80 is: 223,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960.80 : 433,268.40 = 148,992.80 : x
  2. Step 2: Convert to fraction form
    288,960.80/433,268.40 = 148,992.80/x
  3. Step 3: Cross multiply
    288,960.80x = 433,268.40 × 148,992.80
  4. Step 4: Simplify right side
    288,960.80x = 64,553,872,067.52
  5. Step 5: Solve for x
    x = 64,553,872,067.52/288,960.80
  6. Step 6: Final answer
    x = 223,400.10

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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.