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Finding the Fourth Proportional to 402,446.90, 603,670.35 and 396,226.10

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Solution

The fourth proportional to 402,446.90, 603,670.35 and 396,226.10 is: 594,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,446.90 : 603,670.35 = 396,226.10 : x
  2. Step 2: Convert to fraction form
    402,446.90/603,670.35 = 396,226.10/x
  3. Step 3: Cross multiply
    402,446.90x = 603,670.35 × 396,226.10
  4. Step 4: Simplify right side
    402,446.90x = 239,189,948,466.14
  5. Step 5: Solve for x
    x = 239,189,948,466.14/402,446.90
  6. Step 6: Final answer
    x = 594,339.15

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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.