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Finding the Fourth Proportional to 397,305.95, 595,945.76 and 172,666.62

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Solution

The fourth proportional to 397,305.95, 595,945.76 and 172,666.62 is: 258,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,305.95 : 595,945.76 = 172,666.62 : x
  2. Step 2: Convert to fraction form
    397,305.95/595,945.76 = 172,666.62/x
  3. Step 3: Cross multiply
    397,305.95x = 595,945.76 × 172,666.62
  4. Step 4: Simplify right side
    397,305.95x = 102,899,939,219.20
  5. Step 5: Solve for x
    x = 102,899,939,219.20/397,305.95
  6. Step 6: Final answer
    x = 258,994.21

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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.