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Finding the Fourth Proportional to 420,069.76, 579,368.64 and 269,180.80

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Solution

The fourth proportional to 420,069.76, 579,368.64 and 269,180.80 is: 371,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,069.76 : 579,368.64 = 269,180.80 : x
  2. Step 2: Convert to fraction form
    420,069.76/579,368.64 = 269,180.80/x
  3. Step 3: Cross multiply
    420,069.76x = 579,368.64 × 269,180.80
  4. Step 4: Simplify right side
    420,069.76x = 155,954,914,010.11
  5. Step 5: Solve for x
    x = 155,954,914,010.11/420,069.76
  6. Step 6: Final answer
    x = 371,259.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.