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Finding the Fourth Proportional to 465,733, 642,711.54 and 253,765

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Solution

The fourth proportional to 465,733, 642,711.54 and 253,765 is: 350,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,733 : 642,711.54 = 253,765 : x
  2. Step 2: Convert to fraction form
    465,733/642,711.54 = 253,765/x
  3. Step 3: Cross multiply
    465,733x = 642,711.54 × 253,765
  4. Step 4: Simplify right side
    465,733x = 163,097,693,948.10
  5. Step 5: Solve for x
    x = 163,097,693,948.10/465,733
  6. Step 6: Final answer
    x = 350,195.70

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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.