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Finding the Fourth Proportional to 508,205.07, 762,378 and 171,342.15

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Solution

The fourth proportional to 508,205.07, 762,378 and 171,342.15 is: 257,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,205.07 : 762,378 = 171,342.15 : x
  2. Step 2: Convert to fraction form
    508,205.07/762,378 = 171,342.15/x
  3. Step 3: Cross multiply
    508,205.07x = 762,378 × 171,342.15
  4. Step 4: Simplify right side
    508,205.07x = 130,627,485,632.70
  5. Step 5: Solve for x
    x = 130,627,485,632.70/508,205.07
  6. Step 6: Final answer
    x = 257,036.96

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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.