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Finding the Fourth Proportional to 538,638.93, 743,288.40 and 296,909.01

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Solution

The fourth proportional to 538,638.93, 743,288.40 and 296,909.01 is: 409,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,638.93 : 743,288.40 = 296,909.01 : x
  2. Step 2: Convert to fraction form
    538,638.93/743,288.40 = 296,909.01/x
  3. Step 3: Cross multiply
    538,638.93x = 743,288.40 × 296,909.01
  4. Step 4: Simplify right side
    538,638.93x = 220,689,022,988.48
  5. Step 5: Solve for x
    x = 220,689,022,988.48/538,638.93
  6. Step 6: Final answer
    x = 409,716.07

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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.