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Finding the Fourth Proportional to 402,209.72, 603,314.05 and 102,690.35

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Solution

The fourth proportional to 402,209.72, 603,314.05 and 102,690.35 is: 154,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,209.72 : 603,314.05 = 102,690.35 : x
  2. Step 2: Convert to fraction form
    402,209.72/603,314.05 = 102,690.35/x
  3. Step 3: Cross multiply
    402,209.72x = 603,314.05 × 102,690.35
  4. Step 4: Simplify right side
    402,209.72x = 61,954,530,954.42
  5. Step 5: Solve for x
    x = 61,954,530,954.42/402,209.72
  6. Step 6: Final answer
    x = 154,035.39

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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.