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Finding the Fourth Proportional to 288,873.31, 433,412.52 and 128,934.69

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Solution

The fourth proportional to 288,873.31, 433,412.52 and 128,934.69 is: 193,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,873.31 : 433,412.52 = 128,934.69 : x
  2. Step 2: Convert to fraction form
    288,873.31/433,412.52 = 128,934.69/x
  3. Step 3: Cross multiply
    288,873.31x = 433,412.52 × 128,934.69
  4. Step 4: Simplify right side
    288,873.31x = 55,881,907,524.77
  5. Step 5: Solve for x
    x = 55,881,907,524.77/288,873.31
  6. Step 6: Final answer
    x = 193,447.80

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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.