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Finding the Fourth Proportional to 288,071.40, 431,863.10 and 119,486.51

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Solution

The fourth proportional to 288,071.40, 431,863.10 and 119,486.51 is: 179,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,071.40 : 431,863.10 = 119,486.51 : x
  2. Step 2: Convert to fraction form
    288,071.40/431,863.10 = 119,486.51/x
  3. Step 3: Cross multiply
    288,071.40x = 431,863.10 × 119,486.51
  4. Step 4: Simplify right side
    288,071.40x = 51,601,811,860.03
  5. Step 5: Solve for x
    x = 51,601,811,860.03/288,071.40
  6. Step 6: Final answer
    x = 179,128.55

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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.