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Finding the Fourth Proportional to 209,952,381.20, 314,928,571.80 and 144,195,414.80

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Solution

The fourth proportional to 209,952,381.20, 314,928,571.80 and 144,195,414.80 is: 216,293,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,381.20 : 314,928,571.80 = 144,195,414.80 : x
  2. Step 2: Convert to fraction form
    209,952,381.20/314,928,571.80 = 144,195,414.80/x
  3. Step 3: Cross multiply
    209,952,381.20x = 314,928,571.80 × 144,195,414.80
  4. Step 4: Simplify right side
    209,952,381.20x = 45,411,256,043,072,592
  5. Step 5: Solve for x
    x = 45,411,256,043,072,592/209,952,381.20
  6. Step 6: Final answer
    x = 216,293,122.20

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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.