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Finding the Fourth Proportional to 513,078.92, 708,049.88 and 286,724.42

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Solution

The fourth proportional to 513,078.92, 708,049.88 and 286,724.42 is: 395,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,078.92 : 708,049.88 = 286,724.42 : x
  2. Step 2: Convert to fraction form
    513,078.92/708,049.88 = 286,724.42/x
  3. Step 3: Cross multiply
    513,078.92x = 708,049.88 × 286,724.42
  4. Step 4: Simplify right side
    513,078.92x = 203,015,191,174.07
  5. Step 5: Solve for x
    x = 203,015,191,174.07/513,078.92
  6. Step 6: Final answer
    x = 395,680.24

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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.