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Finding the Fourth Proportional to 538,625.68, 743,308.52 and 296,916.91

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Solution

The fourth proportional to 538,625.68, 743,308.52 and 296,916.91 is: 409,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,625.68 : 743,308.52 = 296,916.91 : x
  2. Step 2: Convert to fraction form
    538,625.68/743,308.52 = 296,916.91/x
  3. Step 3: Cross multiply
    538,625.68x = 743,308.52 × 296,916.91
  4. Step 4: Simplify right side
    538,625.68x = 220,700,865,592.22
  5. Step 5: Solve for x
    x = 220,700,865,592.22/538,625.68
  6. Step 6: Final answer
    x = 409,748.13

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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.