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Finding the Fourth Proportional to 312,890.51, 431,788.50 and 169,650.32

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Solution

The fourth proportional to 312,890.51, 431,788.50 and 169,650.32 is: 234,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,890.51 : 431,788.50 = 169,650.32 : x
  2. Step 2: Convert to fraction form
    312,890.51/431,788.50 = 169,650.32/x
  3. Step 3: Cross multiply
    312,890.51x = 431,788.50 × 169,650.32
  4. Step 4: Simplify right side
    312,890.51x = 73,253,057,197.32
  5. Step 5: Solve for x
    x = 73,253,057,197.32/312,890.51
  6. Step 6: Final answer
    x = 234,117.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.