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Finding the Fourth Proportional to 286,507.94, 394,880.48 and 209,864.15

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Solution

The fourth proportional to 286,507.94, 394,880.48 and 209,864.15 is: 289,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,507.94 : 394,880.48 = 209,864.15 : x
  2. Step 2: Convert to fraction form
    286,507.94/394,880.48 = 209,864.15/x
  3. Step 3: Cross multiply
    286,507.94x = 394,880.48 × 209,864.15
  4. Step 4: Simplify right side
    286,507.94x = 82,871,256,711.35
  5. Step 5: Solve for x
    x = 82,871,256,711.35/286,507.94
  6. Step 6: Final answer
    x = 289,245.93

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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.