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Finding the Fourth Proportional to 538,487.64, 743,079.56 and 296,756.72

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Solution

The fourth proportional to 538,487.64, 743,079.56 and 296,756.72 is: 409,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,487.64 : 743,079.56 = 296,756.72 : x
  2. Step 2: Convert to fraction form
    538,487.64/743,079.56 = 296,756.72/x
  3. Step 3: Cross multiply
    538,487.64x = 743,079.56 × 296,756.72
  4. Step 4: Simplify right side
    538,487.64x = 220,513,847,725.46
  5. Step 5: Solve for x
    x = 220,513,847,725.46/538,487.64
  6. Step 6: Final answer
    x = 409,505.87

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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.