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Finding the Fourth Proportional to 458,865.80, 686,916.30 and 409,099.40

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Solution

The fourth proportional to 458,865.80, 686,916.30 and 409,099.40 is: 612,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,865.80 : 686,916.30 = 409,099.40 : x
  2. Step 2: Convert to fraction form
    458,865.80/686,916.30 = 409,099.40/x
  3. Step 3: Cross multiply
    458,865.80x = 686,916.30 × 409,099.40
  4. Step 4: Simplify right side
    458,865.80x = 281,017,046,180.22
  5. Step 5: Solve for x
    x = 281,017,046,180.22/458,865.80
  6. Step 6: Final answer
    x = 612,416.63

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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.