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Finding the Fourth Proportional to 538,516.86, 743,143.61 and 293,503.82

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Solution

The fourth proportional to 538,516.86, 743,143.61 and 293,503.82 is: 405,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,516.86 : 743,143.61 = 293,503.82 : x
  2. Step 2: Convert to fraction form
    538,516.86/743,143.61 = 293,503.82/x
  3. Step 3: Cross multiply
    538,516.86x = 743,143.61 × 293,503.82
  4. Step 4: Simplify right side
    538,516.86x = 218,115,485,361.63
  5. Step 5: Solve for x
    x = 218,115,485,361.63/538,516.86
  6. Step 6: Final answer
    x = 405,030.01

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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.