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Finding the Fourth Proportional to 338,204.68, 507,311.34 and 160,729

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Solution

The fourth proportional to 338,204.68, 507,311.34 and 160,729 is: 241,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,204.68 : 507,311.34 = 160,729 : x
  2. Step 2: Convert to fraction form
    338,204.68/507,311.34 = 160,729/x
  3. Step 3: Cross multiply
    338,204.68x = 507,311.34 × 160,729
  4. Step 4: Simplify right side
    338,204.68x = 81,539,644,366.86
  5. Step 5: Solve for x
    x = 81,539,644,366.86/338,204.68
  6. Step 6: Final answer
    x = 241,095.55

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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.