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Finding the Fourth Proportional to 602,749.08, 831,819.78 and 361,071

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Solution

The fourth proportional to 602,749.08, 831,819.78 and 361,071 is: 498,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,749.08 : 831,819.78 = 361,071 : x
  2. Step 2: Convert to fraction form
    602,749.08/831,819.78 = 361,071/x
  3. Step 3: Cross multiply
    602,749.08x = 831,819.78 × 361,071
  4. Step 4: Simplify right side
    602,749.08x = 300,345,999,784.38
  5. Step 5: Solve for x
    x = 300,345,999,784.38/602,749.08
  6. Step 6: Final answer
    x = 498,293.58

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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.