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Finding the Fourth Proportional to 609,193.71, 913,792.39 and 209,829.29

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Solution

The fourth proportional to 609,193.71, 913,792.39 and 209,829.29 is: 314,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,193.71 : 913,792.39 = 209,829.29 : x
  2. Step 2: Convert to fraction form
    609,193.71/913,792.39 = 209,829.29/x
  3. Step 3: Cross multiply
    609,193.71x = 913,792.39 × 209,829.29
  4. Step 4: Simplify right side
    609,193.71x = 191,740,403,307.57
  5. Step 5: Solve for x
    x = 191,740,403,307.57/609,193.71
  6. Step 6: Final answer
    x = 314,744.56

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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.