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Finding the Fourth Proportional to 497,209.39, 686,153.50 and 300,980.39

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Solution

The fourth proportional to 497,209.39, 686,153.50 and 300,980.39 is: 415,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,209.39 : 686,153.50 = 300,980.39 : x
  2. Step 2: Convert to fraction form
    497,209.39/686,153.50 = 300,980.39/x
  3. Step 3: Cross multiply
    497,209.39x = 686,153.50 × 300,980.39
  4. Step 4: Simplify right side
    497,209.39x = 206,518,743,846.65
  5. Step 5: Solve for x
    x = 206,518,743,846.65/497,209.39
  6. Step 6: Final answer
    x = 415,355.68

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1.5x scale

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.