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Finding the Fourth Proportional to 402,327.33, 603,489.27 and 102,807.42

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Solution

The fourth proportional to 402,327.33, 603,489.27 and 102,807.42 is: 154,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,327.33 : 603,489.27 = 102,807.42 : x
  2. Step 2: Convert to fraction form
    402,327.33/603,489.27 = 102,807.42/x
  3. Step 3: Cross multiply
    402,327.33x = 603,489.27 × 102,807.42
  4. Step 4: Simplify right side
    402,327.33x = 62,043,174,846.38
  5. Step 5: Solve for x
    x = 62,043,174,846.38/402,327.33
  6. Step 6: Final answer
    x = 154,210.69

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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.