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Finding the Fourth Proportional to 538,611.05, 743,316.51 and 296,893.07

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Solution

The fourth proportional to 538,611.05, 743,316.51 and 296,893.07 is: 409,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,611.05 : 743,316.51 = 296,893.07 : x
  2. Step 2: Convert to fraction form
    538,611.05/743,316.51 = 296,893.07/x
  3. Step 3: Cross multiply
    538,611.05x = 743,316.51 × 296,893.07
  4. Step 4: Simplify right side
    538,611.05x = 220,685,516,919.00
  5. Step 5: Solve for x
    x = 220,685,516,919.00/538,611.05
  6. Step 6: Final answer
    x = 409,730.77

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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.