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Finding the Fourth Proportional to 538,611.36, 743,239.98 and 312,271.44

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Solution

The fourth proportional to 538,611.36, 743,239.98 and 312,271.44 is: 430,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,611.36 : 743,239.98 = 312,271.44 : x
  2. Step 2: Convert to fraction form
    538,611.36/743,239.98 = 312,271.44/x
  3. Step 3: Cross multiply
    538,611.36x = 743,239.98 × 312,271.44
  4. Step 4: Simplify right side
    538,611.36x = 232,092,618,820.17
  5. Step 5: Solve for x
    x = 232,092,618,820.17/538,611.36
  6. Step 6: Final answer
    x = 430,909.25

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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.