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Finding the Fourth Proportional to 513,229.32, 708,305.46 and 298,350.60

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Solution

The fourth proportional to 513,229.32, 708,305.46 and 298,350.60 is: 411,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,229.32 : 708,305.46 = 298,350.60 : x
  2. Step 2: Convert to fraction form
    513,229.32/708,305.46 = 298,350.60/x
  3. Step 3: Cross multiply
    513,229.32x = 708,305.46 × 298,350.60
  4. Step 4: Simplify right side
    513,229.32x = 211,323,358,974.28
  5. Step 5: Solve for x
    x = 211,323,358,974.28/513,229.32
  6. Step 6: Final answer
    x = 411,752.31

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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.