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Finding the Fourth Proportional to 538,641.92, 743,292.42 and 296,912

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Solution

The fourth proportional to 538,641.92, 743,292.42 and 296,912 is: 409,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,641.92 : 743,292.42 = 296,912 : x
  2. Step 2: Convert to fraction form
    538,641.92/743,292.42 = 296,912/x
  3. Step 3: Cross multiply
    538,641.92x = 743,292.42 × 296,912
  4. Step 4: Simplify right side
    538,641.92x = 220,692,439,007.04
  5. Step 5: Solve for x
    x = 220,692,439,007.04/538,641.92
  6. Step 6: Final answer
    x = 409,720.13

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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.