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Finding the Fourth Proportional to 497,319.75, 686,002.10 and 303,639.03

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Solution

The fourth proportional to 497,319.75, 686,002.10 and 303,639.03 is: 418,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,319.75 : 686,002.10 = 303,639.03 : x
  2. Step 2: Convert to fraction form
    497,319.75/686,002.10 = 303,639.03/x
  3. Step 3: Cross multiply
    497,319.75x = 686,002.10 × 303,639.03
  4. Step 4: Simplify right side
    497,319.75x = 208,297,012,221.96
  5. Step 5: Solve for x
    x = 208,297,012,221.96/497,319.75
  6. Step 6: Final answer
    x = 418,839.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.