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Finding the Fourth Proportional to 402,991.70, 603,676.08 and 186,545.45

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Solution

The fourth proportional to 402,991.70, 603,676.08 and 186,545.45 is: 279,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,991.70 : 603,676.08 = 186,545.45 : x
  2. Step 2: Convert to fraction form
    402,991.70/603,676.08 = 186,545.45/x
  3. Step 3: Cross multiply
    402,991.70x = 603,676.08 × 186,545.45
  4. Step 4: Simplify right side
    402,991.70x = 112,613,025,997.84
  5. Step 5: Solve for x
    x = 112,613,025,997.84/402,991.70
  6. Step 6: Final answer
    x = 279,442.54

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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.