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Finding the Fourth Proportional to 393,973.94, 591,019.24 and 144,636.50

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Solution

The fourth proportional to 393,973.94, 591,019.24 and 144,636.50 is: 216,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,973.94 : 591,019.24 = 144,636.50 : x
  2. Step 2: Convert to fraction form
    393,973.94/591,019.24 = 144,636.50/x
  3. Step 3: Cross multiply
    393,973.94x = 591,019.24 × 144,636.50
  4. Step 4: Simplify right side
    393,973.94x = 85,482,954,306.26
  5. Step 5: Solve for x
    x = 85,482,954,306.26/393,973.94
  6. Step 6: Final answer
    x = 216,976.16

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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.