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Finding the Fourth Proportional to 338,356.35, 507,484.40 and 205,200.86

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Solution

The fourth proportional to 338,356.35, 507,484.40 and 205,200.86 is: 307,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,356.35 : 507,484.40 = 205,200.86 : x
  2. Step 2: Convert to fraction form
    338,356.35/507,484.40 = 205,200.86/x
  3. Step 3: Cross multiply
    338,356.35x = 507,484.40 × 205,200.86
  4. Step 4: Simplify right side
    338,356.35x = 104,136,231,753.16
  5. Step 5: Solve for x
    x = 104,136,231,753.16/338,356.35
  6. Step 6: Final answer
    x = 307,770.88

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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.