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Finding the Fourth Proportional to 513,945.60, 772,761.60 and 432,844.80

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Solution

The fourth proportional to 513,945.60, 772,761.60 and 432,844.80 is: 650,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,945.60 : 772,761.60 = 432,844.80 : x
  2. Step 2: Convert to fraction form
    513,945.60/772,761.60 = 432,844.80/x
  3. Step 3: Cross multiply
    513,945.60x = 772,761.60 × 432,844.80
  4. Step 4: Simplify right side
    513,945.60x = 334,485,840,199.68
  5. Step 5: Solve for x
    x = 334,485,840,199.68/513,945.60
  6. Step 6: Final answer
    x = 650,819.54

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.