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Finding the Fourth Proportional to 508,402.51, 762,409.54 and 171,352.60

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Solution

The fourth proportional to 508,402.51, 762,409.54 and 171,352.60 is: 256,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,402.51 : 762,409.54 = 171,352.60 : x
  2. Step 2: Convert to fraction form
    508,402.51/762,409.54 = 171,352.60/x
  3. Step 3: Cross multiply
    508,402.51x = 762,409.54 × 171,352.60
  4. Step 4: Simplify right side
    508,402.51x = 130,640,856,943.80
  5. Step 5: Solve for x
    x = 130,640,856,943.80/508,402.51
  6. Step 6: Final answer
    x = 256,963.44

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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.