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Finding the Fourth Proportional to 338,483.96, 507,725.94 and 172,388.60

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Solution

The fourth proportional to 338,483.96, 507,725.94 and 172,388.60 is: 258,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,483.96 : 507,725.94 = 172,388.60 : x
  2. Step 2: Convert to fraction form
    338,483.96/507,725.94 = 172,388.60/x
  3. Step 3: Cross multiply
    338,483.96x = 507,725.94 × 172,388.60
  4. Step 4: Simplify right side
    338,483.96x = 87,526,163,980.28
  5. Step 5: Solve for x
    x = 87,526,163,980.28/338,483.96
  6. Step 6: Final answer
    x = 258,582.90

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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.