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Finding the Fourth Proportional to 569,639.70, 853,712.10 and 419,175.45

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Solution

The fourth proportional to 569,639.70, 853,712.10 and 419,175.45 is: 628,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,639.70 : 853,712.10 = 419,175.45 : x
  2. Step 2: Convert to fraction form
    569,639.70/853,712.10 = 419,175.45/x
  3. Step 3: Cross multiply
    569,639.70x = 853,712.10 × 419,175.45
  4. Step 4: Simplify right side
    569,639.70x = 357,855,153,687.95
  5. Step 5: Solve for x
    x = 357,855,153,687.95/569,639.70
  6. Step 6: Final answer
    x = 628,213.16

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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.