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Finding the Fourth Proportional to 402,464.70, 603,005.85 and 262,151.10

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Solution

The fourth proportional to 402,464.70, 603,005.85 and 262,151.10 is: 392,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,464.70 : 603,005.85 = 262,151.10 : x
  2. Step 2: Convert to fraction form
    402,464.70/603,005.85 = 262,151.10/x
  3. Step 3: Cross multiply
    402,464.70x = 603,005.85 × 262,151.10
  4. Step 4: Simplify right side
    402,464.70x = 158,078,646,883.94
  5. Step 5: Solve for x
    x = 158,078,646,883.94/402,464.70
  6. Step 6: Final answer
    x = 392,776.43

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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.