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Finding the Fourth Proportional to 513,664.98, 708,697.00 and 309,778.26

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Solution

The fourth proportional to 513,664.98, 708,697.00 and 309,778.26 is: 427,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,664.98 : 708,697.00 = 309,778.26 : x
  2. Step 2: Convert to fraction form
    513,664.98/708,697.00 = 309,778.26/x
  3. Step 3: Cross multiply
    513,664.98x = 708,697.00 × 309,778.26
  4. Step 4: Simplify right side
    513,664.98x = 219,538,919,514.33
  5. Step 5: Solve for x
    x = 219,538,919,514.33/513,664.98
  6. Step 6: Final answer
    x = 427,397.10

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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.