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Finding the Fourth Proportional to 402,328.33, 603,490.77 and 102,808.42

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Solution

The fourth proportional to 402,328.33, 603,490.77 and 102,808.42 is: 154,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,328.33 : 603,490.77 = 102,808.42 : x
  2. Step 2: Convert to fraction form
    402,328.33/603,490.77 = 102,808.42/x
  3. Step 3: Cross multiply
    402,328.33x = 603,490.77 × 102,808.42
  4. Step 4: Simplify right side
    402,328.33x = 62,043,932,548.28
  5. Step 5: Solve for x
    x = 62,043,932,548.28/402,328.33
  6. Step 6: Final answer
    x = 154,212.19

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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.