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Finding the Fourth Proportional to 513,535.06, 708,665.13 and 284,086.42

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Solution

The fourth proportional to 513,535.06, 708,665.13 and 284,086.42 is: 392,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,535.06 : 708,665.13 = 284,086.42 : x
  2. Step 2: Convert to fraction form
    513,535.06/708,665.13 = 284,086.42/x
  3. Step 3: Cross multiply
    513,535.06x = 708,665.13 × 284,086.42
  4. Step 4: Simplify right side
    513,535.06x = 201,322,139,760.54
  5. Step 5: Solve for x
    x = 201,322,139,760.54/513,535.06
  6. Step 6: Final answer
    x = 392,031.93

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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.