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Finding the Fourth Proportional to 402,389.70, 603,657.45 and 202,206.30

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Solution

The fourth proportional to 402,389.70, 603,657.45 and 202,206.30 is: 303,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,389.70 : 603,657.45 = 202,206.30 : x
  2. Step 2: Convert to fraction form
    402,389.70/603,657.45 = 202,206.30/x
  3. Step 3: Cross multiply
    402,389.70x = 603,657.45 × 202,206.30
  4. Step 4: Simplify right side
    402,389.70x = 122,063,339,431.94
  5. Step 5: Solve for x
    x = 122,063,339,431.94/402,389.70
  6. Step 6: Final answer
    x = 303,346.08

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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.