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Finding the Fourth Proportional to 538,384.66, 743,003.40 and 296,666.86

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Solution

The fourth proportional to 538,384.66, 743,003.40 and 296,666.86 is: 409,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,384.66 : 743,003.40 = 296,666.86 : x
  2. Step 2: Convert to fraction form
    538,384.66/743,003.40 = 296,666.86/x
  3. Step 3: Cross multiply
    538,384.66x = 743,003.40 × 296,666.86
  4. Step 4: Simplify right side
    538,384.66x = 220,424,485,647.32
  5. Step 5: Solve for x
    x = 220,424,485,647.32/538,384.66
  6. Step 6: Final answer
    x = 409,418.21

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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.