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Finding the Fourth Proportional to 538,777.04, 743,461.56 and 312,398

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Solution

The fourth proportional to 538,777.04, 743,461.56 and 312,398 is: 431,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,777.04 : 743,461.56 = 312,398 : x
  2. Step 2: Convert to fraction form
    538,777.04/743,461.56 = 312,398/x
  3. Step 3: Cross multiply
    538,777.04x = 743,461.56 × 312,398
  4. Step 4: Simplify right side
    538,777.04x = 232,255,904,420.88
  5. Step 5: Solve for x
    x = 232,255,904,420.88/538,777.04
  6. Step 6: Final answer
    x = 431,079.81

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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.