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Finding the Fourth Proportional to 402,297.02, 603,445.50 and 102,778.24

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Solution

The fourth proportional to 402,297.02, 603,445.50 and 102,778.24 is: 154,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,297.02 : 603,445.50 = 102,778.24 : x
  2. Step 2: Convert to fraction form
    402,297.02/603,445.50 = 102,778.24/x
  3. Step 3: Cross multiply
    402,297.02x = 603,445.50 × 102,778.24
  4. Step 4: Simplify right side
    402,297.02x = 62,021,066,425.92
  5. Step 5: Solve for x
    x = 62,021,066,425.92/402,297.02
  6. Step 6: Final answer
    x = 154,167.35

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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.