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Finding the Fourth Proportional to 508,209.07, 762,384 and 171,346.15

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Solution

The fourth proportional to 508,209.07, 762,384 and 171,346.15 is: 257,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,209.07 : 762,384 = 171,346.15 : x
  2. Step 2: Convert to fraction form
    508,209.07/762,384 = 171,346.15/x
  3. Step 3: Cross multiply
    508,209.07x = 762,384 × 171,346.15
  4. Step 4: Simplify right side
    508,209.07x = 130,631,563,221.60
  5. Step 5: Solve for x
    x = 130,631,563,221.60/508,209.07
  6. Step 6: Final answer
    x = 257,042.96

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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.