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Finding the Fourth Proportional to 538,518.61, 743,146.03 and 293,505.57

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Solution

The fourth proportional to 538,518.61, 743,146.03 and 293,505.57 is: 405,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,518.61 : 743,146.03 = 293,505.57 : x
  2. Step 2: Convert to fraction form
    538,518.61/743,146.03 = 293,505.57/x
  3. Step 3: Cross multiply
    538,518.61x = 743,146.03 × 293,505.57
  4. Step 4: Simplify right side
    538,518.61x = 218,117,494,678.89
  5. Step 5: Solve for x
    x = 218,117,494,678.89/538,518.61
  6. Step 6: Final answer
    x = 405,032.42

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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.