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Finding the Fourth Proportional to 276,688.10, 415,032.15 and 171,712.10

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Solution

The fourth proportional to 276,688.10, 415,032.15 and 171,712.10 is: 257,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,688.10 : 415,032.15 = 171,712.10 : x
  2. Step 2: Convert to fraction form
    276,688.10/415,032.15 = 171,712.10/x
  3. Step 3: Cross multiply
    276,688.10x = 415,032.15 × 171,712.10
  4. Step 4: Simplify right side
    276,688.10x = 71,266,042,044.02
  5. Step 5: Solve for x
    x = 71,266,042,044.02/276,688.10
  6. Step 6: Final answer
    x = 257,568.15

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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.