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Finding the Fourth Proportional to 257,226.92, 385,860.34 and 77,298.30

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Solution

The fourth proportional to 257,226.92, 385,860.34 and 77,298.30 is: 115,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,226.92 : 385,860.34 = 77,298.30 : x
  2. Step 2: Convert to fraction form
    257,226.92/385,860.34 = 77,298.30/x
  3. Step 3: Cross multiply
    257,226.92x = 385,860.34 × 77,298.30
  4. Step 4: Simplify right side
    257,226.92x = 29,826,346,534.27
  5. Step 5: Solve for x
    x = 29,826,346,534.27/257,226.92
  6. Step 6: Final answer
    x = 115,953.44

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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.