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Finding the Fourth Proportional to 397,015.83, 595,188.92 and 172,206.95

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Solution

The fourth proportional to 397,015.83, 595,188.92 and 172,206.95 is: 258,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,015.83 : 595,188.92 = 172,206.95 : x
  2. Step 2: Convert to fraction form
    397,015.83/595,188.92 = 172,206.95/x
  3. Step 3: Cross multiply
    397,015.83x = 595,188.92 × 172,206.95
  4. Step 4: Simplify right side
    397,015.83x = 102,495,664,750.02
  5. Step 5: Solve for x
    x = 102,495,664,750.02/397,015.83
  6. Step 6: Final answer
    x = 258,165.18

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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.