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Finding the Fourth Proportional to 287,162.76, 430,719.50 and 174,813.82

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Solution

The fourth proportional to 287,162.76, 430,719.50 and 174,813.82 is: 262,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,162.76 : 430,719.50 = 174,813.82 : x
  2. Step 2: Convert to fraction form
    287,162.76/430,719.50 = 174,813.82/x
  3. Step 3: Cross multiply
    287,162.76x = 430,719.50 × 174,813.82
  4. Step 4: Simplify right side
    287,162.76x = 75,295,721,143.49
  5. Step 5: Solve for x
    x = 75,295,721,143.49/287,162.76
  6. Step 6: Final answer
    x = 262,205.73

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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.