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Finding the Fourth Proportional to 389,792.88, 584,744.71 and 119,943.40

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Solution

The fourth proportional to 389,792.88, 584,744.71 and 119,943.40 is: 179,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,792.88 : 584,744.71 = 119,943.40 : x
  2. Step 2: Convert to fraction form
    389,792.88/584,744.71 = 119,943.40/x
  3. Step 3: Cross multiply
    389,792.88x = 584,744.71 × 119,943.40
  4. Step 4: Simplify right side
    389,792.88x = 70,136,268,649.41
  5. Step 5: Solve for x
    x = 70,136,268,649.41/389,792.88
  6. Step 6: Final answer
    x = 179,932.14

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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.