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Finding the Fourth Proportional to 509,418.70, 702,997.91 and 283,064.20

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Solution

The fourth proportional to 509,418.70, 702,997.91 and 283,064.20 is: 390,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,418.70 : 702,997.91 = 283,064.20 : x
  2. Step 2: Convert to fraction form
    509,418.70/702,997.91 = 283,064.20/x
  3. Step 3: Cross multiply
    509,418.70x = 702,997.91 × 283,064.20
  4. Step 4: Simplify right side
    509,418.70x = 198,993,540,995.82
  5. Step 5: Solve for x
    x = 198,993,540,995.82/509,418.70
  6. Step 6: Final answer
    x = 390,628.65

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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.