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Finding the Fourth Proportional to 513,665, 708,858.84 and 284,238.92

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Solution

The fourth proportional to 513,665, 708,858.84 and 284,238.92 is: 392,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,665 : 708,858.84 = 284,238.92 : x
  2. Step 2: Convert to fraction form
    513,665/708,858.84 = 284,238.92/x
  3. Step 3: Cross multiply
    513,665x = 708,858.84 × 284,238.92
  4. Step 4: Simplify right side
    513,665x = 201,485,271,114.05
  5. Step 5: Solve for x
    x = 201,485,271,114.05/513,665
  6. Step 6: Final answer
    x = 392,250.34

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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.