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Finding the Fourth Proportional to 600,406.75, 900,595.15 and 280,916.09

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Solution

The fourth proportional to 600,406.75, 900,595.15 and 280,916.09 is: 421,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,406.75 : 900,595.15 = 280,916.09 : x
  2. Step 2: Convert to fraction form
    600,406.75/900,595.15 = 280,916.09/x
  3. Step 3: Cross multiply
    600,406.75x = 900,595.15 × 280,916.09
  4. Step 4: Simplify right side
    600,406.75x = 252,991,670,813.60
  5. Step 5: Solve for x
    x = 252,991,670,813.60/600,406.75
  6. Step 6: Final answer
    x = 421,367.13

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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.