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Finding the Fourth Proportional to 510,230.35, 703,959.36 and 289,431.25

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Solution

The fourth proportional to 510,230.35, 703,959.36 and 289,431.25 is: 399,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,230.35 : 703,959.36 = 289,431.25 : x
  2. Step 2: Convert to fraction form
    510,230.35/703,959.36 = 289,431.25/x
  3. Step 3: Cross multiply
    510,230.35x = 703,959.36 × 289,431.25
  4. Step 4: Simplify right side
    510,230.35x = 203,747,837,514
  5. Step 5: Solve for x
    x = 203,747,837,514/510,230.35
  6. Step 6: Final answer
    x = 399,325.20

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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.