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Finding the Fourth Proportional to 338,636.52, 507,509.08 and 188,947.28

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Solution

The fourth proportional to 338,636.52, 507,509.08 and 188,947.28 is: 283,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,636.52 : 507,509.08 = 188,947.28 : x
  2. Step 2: Convert to fraction form
    338,636.52/507,509.08 = 188,947.28/x
  3. Step 3: Cross multiply
    338,636.52x = 507,509.08 × 188,947.28
  4. Step 4: Simplify right side
    338,636.52x = 95,892,460,241.30
  5. Step 5: Solve for x
    x = 95,892,460,241.30/338,636.52
  6. Step 6: Final answer
    x = 283,172.24

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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.