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Finding the Fourth Proportional to 288,006.60, 431,645.40 and 110,276.40

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Solution

The fourth proportional to 288,006.60, 431,645.40 and 110,276.40 is: 165,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,006.60 : 431,645.40 = 110,276.40 : x
  2. Step 2: Convert to fraction form
    288,006.60/431,645.40 = 110,276.40/x
  3. Step 3: Cross multiply
    288,006.60x = 431,645.40 × 110,276.40
  4. Step 4: Simplify right side
    288,006.60x = 47,600,300,788.56
  5. Step 5: Solve for x
    x = 47,600,300,788.56/288,006.60
  6. Step 6: Final answer
    x = 165,275.03

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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.