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Finding the Fourth Proportional to 262,144.96, 391,439.39 and 208,231.76

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Solution

The fourth proportional to 262,144.96, 391,439.39 and 208,231.76 is: 310,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,144.96 : 391,439.39 = 208,231.76 : x
  2. Step 2: Convert to fraction form
    262,144.96/391,439.39 = 208,231.76/x
  3. Step 3: Cross multiply
    262,144.96x = 391,439.39 × 208,231.76
  4. Step 4: Simplify right side
    262,144.96x = 81,510,113,050.47
  5. Step 5: Solve for x
    x = 81,510,113,050.47/262,144.96
  6. Step 6: Final answer
    x = 310,935.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.