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Finding the Fourth Proportional to 509,987.04, 703,778.22 and 280,539.38

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Solution

The fourth proportional to 509,987.04, 703,778.22 and 280,539.38 is: 387,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,987.04 : 703,778.22 = 280,539.38 : x
  2. Step 2: Convert to fraction form
    509,987.04/703,778.22 = 280,539.38/x
  3. Step 3: Cross multiply
    509,987.04x = 703,778.22 × 280,539.38
  4. Step 4: Simplify right side
    509,987.04x = 197,437,507,255.75
  5. Step 5: Solve for x
    x = 197,437,507,255.75/509,987.04
  6. Step 6: Final answer
    x = 387,142.21

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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.