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Finding the Fourth Proportional to 538,512.45, 743,116.86 and 296,794.28

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Solution

The fourth proportional to 538,512.45, 743,116.86 and 296,794.28 is: 409,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,512.45 : 743,116.86 = 296,794.28 : x
  2. Step 2: Convert to fraction form
    538,512.45/743,116.86 = 296,794.28/x
  3. Step 3: Cross multiply
    538,512.45x = 743,116.86 × 296,794.28
  4. Step 4: Simplify right side
    538,512.45x = 220,552,833,419.56
  5. Step 5: Solve for x
    x = 220,552,833,419.56/538,512.45
  6. Step 6: Final answer
    x = 409,559.40

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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.