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Finding the Fourth Proportional to 420,351.84, 580,085.55 and 269,448.84

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Solution

The fourth proportional to 420,351.84, 580,085.55 and 269,448.84 is: 371,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,351.84 : 580,085.55 = 269,448.84 : x
  2. Step 2: Convert to fraction form
    420,351.84/580,085.55 = 269,448.84/x
  3. Step 3: Cross multiply
    420,351.84x = 580,085.55 × 269,448.84
  4. Step 4: Simplify right side
    420,351.84x = 156,303,378,548.26
  5. Step 5: Solve for x
    x = 156,303,378,548.26/420,351.84
  6. Step 6: Final answer
    x = 371,839.41

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1.5x scale

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.