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Finding the Fourth Proportional to 419,085.21, 578,542.62 and 281,214.81

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Solution

The fourth proportional to 419,085.21, 578,542.62 and 281,214.81 is: 388,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,085.21 : 578,542.62 = 281,214.81 : x
  2. Step 2: Convert to fraction form
    419,085.21/578,542.62 = 281,214.81/x
  3. Step 3: Cross multiply
    419,085.21x = 578,542.62 × 281,214.81
  4. Step 4: Simplify right side
    419,085.21x = 162,694,752,960.20
  5. Step 5: Solve for x
    x = 162,694,752,960.20/419,085.21
  6. Step 6: Final answer
    x = 388,214.01

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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.