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Finding the Fourth Proportional to 338,203.68, 507,309.84 and 160,728

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Solution

The fourth proportional to 338,203.68, 507,309.84 and 160,728 is: 241,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,203.68 : 507,309.84 = 160,728 : x
  2. Step 2: Convert to fraction form
    338,203.68/507,309.84 = 160,728/x
  3. Step 3: Cross multiply
    338,203.68x = 507,309.84 × 160,728
  4. Step 4: Simplify right side
    338,203.68x = 81,538,895,963.52
  5. Step 5: Solve for x
    x = 81,538,895,963.52/338,203.68
  6. Step 6: Final answer
    x = 241,094.05

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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.