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Finding the Fourth Proportional to 395,975.30, 546,456.68 and 223,919.01

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Solution

The fourth proportional to 395,975.30, 546,456.68 and 223,919.01 is: 309,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,975.30 : 546,456.68 = 223,919.01 : x
  2. Step 2: Convert to fraction form
    395,975.30/546,456.68 = 223,919.01/x
  3. Step 3: Cross multiply
    395,975.30x = 546,456.68 × 223,919.01
  4. Step 4: Simplify right side
    395,975.30x = 122,362,037,420.86
  5. Step 5: Solve for x
    x = 122,362,037,420.86/395,975.30
  6. Step 6: Final answer
    x = 309,014.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.