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Finding the Fourth Proportional to 402,560.66, 603,913.90 and 165,774.18

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Solution

The fourth proportional to 402,560.66, 603,913.90 and 165,774.18 is: 248,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,560.66 : 603,913.90 = 165,774.18 : x
  2. Step 2: Convert to fraction form
    402,560.66/603,913.90 = 165,774.18/x
  3. Step 3: Cross multiply
    402,560.66x = 603,913.90 × 165,774.18
  4. Step 4: Simplify right side
    402,560.66x = 100,113,331,563.10
  5. Step 5: Solve for x
    x = 100,113,331,563.10/402,560.66
  6. Step 6: Final answer
    x = 248,691.29

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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.