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Finding the Fourth Proportional to 538,501.20, 743,128.20 and 296,784

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Solution

The fourth proportional to 538,501.20, 743,128.20 and 296,784 is: 409,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,501.20 : 743,128.20 = 296,784 : x
  2. Step 2: Convert to fraction form
    538,501.20/743,128.20 = 296,784/x
  3. Step 3: Cross multiply
    538,501.20x = 743,128.20 × 296,784
  4. Step 4: Simplify right side
    538,501.20x = 220,548,559,708.80
  5. Step 5: Solve for x
    x = 220,548,559,708.80/538,501.20
  6. Step 6: Final answer
    x = 409,560.02

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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.