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Finding the Fourth Proportional to 831,658, 1,247,298.86 and 381,946.54

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Solution

The fourth proportional to 831,658, 1,247,298.86 and 381,946.54 is: 572,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,658 : 1,247,298.86 = 381,946.54 : x
  2. Step 2: Convert to fraction form
    831,658/1,247,298.86 = 381,946.54/x
  3. Step 3: Cross multiply
    831,658x = 1,247,298.86 × 381,946.54
  4. Step 4: Simplify right side
    831,658x = 476,401,483,922.94
  5. Step 5: Solve for x
    x = 476,401,483,922.94/831,658
  6. Step 6: Final answer
    x = 572,833.40

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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.