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Finding the Fourth Proportional to 535,685.25, 739,254.65 and 293,990.31

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Solution

The fourth proportional to 535,685.25, 739,254.65 and 293,990.31 is: 405,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,685.25 : 739,254.65 = 293,990.31 : x
  2. Step 2: Convert to fraction form
    535,685.25/739,254.65 = 293,990.31/x
  3. Step 3: Cross multiply
    535,685.25x = 739,254.65 × 293,990.31
  4. Step 4: Simplify right side
    535,685.25x = 217,333,702,252.49
  5. Step 5: Solve for x
    x = 217,333,702,252.49/535,685.25
  6. Step 6: Final answer
    x = 405,711.57

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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.