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Finding the Fourth Proportional to 509,408.65, 703,000.80 and 279,974.07

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Solution

The fourth proportional to 509,408.65, 703,000.80 and 279,974.07 is: 386,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,408.65 : 703,000.80 = 279,974.07 : x
  2. Step 2: Convert to fraction form
    509,408.65/703,000.80 = 279,974.07/x
  3. Step 3: Cross multiply
    509,408.65x = 703,000.80 × 279,974.07
  4. Step 4: Simplify right side
    509,408.65x = 196,821,995,189.26
  5. Step 5: Solve for x
    x = 196,821,995,189.26/509,408.65
  6. Step 6: Final answer
    x = 386,373.48

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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.