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Finding the Fourth Proportional to 535,673.10, 739,237.94 and 293,978.18

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Solution

The fourth proportional to 535,673.10, 739,237.94 and 293,978.18 is: 405,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,673.10 : 739,237.94 = 293,978.18 : x
  2. Step 2: Convert to fraction form
    535,673.10/739,237.94 = 293,978.18/x
  3. Step 3: Cross multiply
    535,673.10x = 739,237.94 × 293,978.18
  4. Step 4: Simplify right side
    535,673.10x = 217,319,819,022.07
  5. Step 5: Solve for x
    x = 217,319,819,022.07/535,673.10
  6. Step 6: Final answer
    x = 405,694.85

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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.