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Finding the Fourth Proportional to 497,425.28, 745,976.64 and 164,912

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Solution

The fourth proportional to 497,425.28, 745,976.64 and 164,912 is: 247,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,425.28 : 745,976.64 = 164,912 : x
  2. Step 2: Convert to fraction form
    497,425.28/745,976.64 = 164,912/x
  3. Step 3: Cross multiply
    497,425.28x = 745,976.64 × 164,912
  4. Step 4: Simplify right side
    497,425.28x = 123,020,499,655.68
  5. Step 5: Solve for x
    x = 123,020,499,655.68/497,425.28
  6. Step 6: Final answer
    x = 247,314.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.