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Finding the Fourth Proportional to 407,298.34, 611,394.45 and 323,596.54

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Solution

The fourth proportional to 407,298.34, 611,394.45 and 323,596.54 is: 485,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,298.34 : 611,394.45 = 323,596.54 : x
  2. Step 2: Convert to fraction form
    407,298.34/611,394.45 = 323,596.54/x
  3. Step 3: Cross multiply
    407,298.34x = 611,394.45 × 323,596.54
  4. Step 4: Simplify right side
    407,298.34x = 197,845,128,595.20
  5. Step 5: Solve for x
    x = 197,845,128,595.20/407,298.34
  6. Step 6: Final answer
    x = 485,749.90

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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.