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Finding the Fourth Proportional to 312,418.80, 431,138.52 and 185,157.36

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Solution

The fourth proportional to 312,418.80, 431,138.52 and 185,157.36 is: 255,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418.80 : 431,138.52 = 185,157.36 : x
  2. Step 2: Convert to fraction form
    312,418.80/431,138.52 = 185,157.36/x
  3. Step 3: Cross multiply
    312,418.80x = 431,138.52 × 185,157.36
  4. Step 4: Simplify right side
    312,418.80x = 79,828,470,157.51
  5. Step 5: Solve for x
    x = 79,828,470,157.51/312,418.80
  6. Step 6: Final answer
    x = 255,517.50

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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.