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Finding the Fourth Proportional to 465,731, 642,708.78 and 253,763

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Solution

The fourth proportional to 465,731, 642,708.78 and 253,763 is: 350,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,731 : 642,708.78 = 253,763 : x
  2. Step 2: Convert to fraction form
    465,731/642,708.78 = 253,763/x
  3. Step 3: Cross multiply
    465,731x = 642,708.78 × 253,763
  4. Step 4: Simplify right side
    465,731x = 163,095,708,139.14
  5. Step 5: Solve for x
    x = 163,095,708,139.14/465,731
  6. Step 6: Final answer
    x = 350,192.94

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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.