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Finding the Fourth Proportional to 577,732.73, 866,804.23 and 257,855.50

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Solution

The fourth proportional to 577,732.73, 866,804.23 and 257,855.50 is: 386,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,732.73 : 866,804.23 = 257,855.50 : x
  2. Step 2: Convert to fraction form
    577,732.73/866,804.23 = 257,855.50/x
  3. Step 3: Cross multiply
    577,732.73x = 866,804.23 × 257,855.50
  4. Step 4: Simplify right side
    577,732.73x = 223,510,238,128.77
  5. Step 5: Solve for x
    x = 223,510,238,128.77/577,732.73
  6. Step 6: Final answer
    x = 386,874.81

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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.