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Finding the Fourth Proportional to 404,381.80, 606,281.10 and 264,219.40

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Solution

The fourth proportional to 404,381.80, 606,281.10 and 264,219.40 is: 396,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,381.80 : 606,281.10 = 264,219.40 : x
  2. Step 2: Convert to fraction form
    404,381.80/606,281.10 = 264,219.40/x
  3. Step 3: Cross multiply
    404,381.80x = 606,281.10 × 264,219.40
  4. Step 4: Simplify right side
    404,381.80x = 160,191,228,473.34
  5. Step 5: Solve for x
    x = 160,191,228,473.34/404,381.80
  6. Step 6: Final answer
    x = 396,138.57

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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.