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Finding the Fourth Proportional to 231,309.88, 319,031.48 and 199,099.28

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Solution

The fourth proportional to 231,309.88, 319,031.48 and 199,099.28 is: 274,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,309.88 : 319,031.48 = 199,099.28 : x
  2. Step 2: Convert to fraction form
    231,309.88/319,031.48 = 199,099.28/x
  3. Step 3: Cross multiply
    231,309.88x = 319,031.48 × 199,099.28
  4. Step 4: Simplify right side
    231,309.88x = 63,518,937,965.33
  5. Step 5: Solve for x
    x = 63,518,937,965.33/231,309.88
  6. Step 6: Final answer
    x = 274,605.38

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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.