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Finding the Fourth Proportional to 286,591.55, 394,812.79 and 200,389.24

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Solution

The fourth proportional to 286,591.55, 394,812.79 and 200,389.24 is: 276,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,591.55 : 394,812.79 = 200,389.24 : x
  2. Step 2: Convert to fraction form
    286,591.55/394,812.79 = 200,389.24/x
  3. Step 3: Cross multiply
    286,591.55x = 394,812.79 × 200,389.24
  4. Step 4: Simplify right side
    286,591.55x = 79,116,232,702.10
  5. Step 5: Solve for x
    x = 79,116,232,702.10/286,591.55
  6. Step 6: Final answer
    x = 276,059.19

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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.