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Finding the Fourth Proportional to 507,265.12, 700,046.94 and 280,910.80

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Solution

The fourth proportional to 507,265.12, 700,046.94 and 280,910.80 is: 387,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,265.12 : 700,046.94 = 280,910.80 : x
  2. Step 2: Convert to fraction form
    507,265.12/700,046.94 = 280,910.80/x
  3. Step 3: Cross multiply
    507,265.12x = 700,046.94 × 280,910.80
  4. Step 4: Simplify right side
    507,265.12x = 196,650,745,952.95
  5. Step 5: Solve for x
    x = 196,650,745,952.95/507,265.12
  6. Step 6: Final answer
    x = 387,668.57

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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.