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Finding the Fourth Proportional to 402,295.26, 603,442.88 and 102,776.49

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Solution

The fourth proportional to 402,295.26, 603,442.88 and 102,776.49 is: 154,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,295.26 : 603,442.88 = 102,776.49 : x
  2. Step 2: Convert to fraction form
    402,295.26/603,442.88 = 102,776.49/x
  3. Step 3: Cross multiply
    402,295.26x = 603,442.88 × 102,776.49
  4. Step 4: Simplify right side
    402,295.26x = 62,019,740,608.01
  5. Step 5: Solve for x
    x = 62,019,740,608.01/402,295.26
  6. Step 6: Final answer
    x = 154,164.73

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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.