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Finding the Fourth Proportional to 433,916.10, 648,235.43 and 280,866.42

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Solution

The fourth proportional to 433,916.10, 648,235.43 and 280,866.42 is: 419,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,916.10 : 648,235.43 = 280,866.42 : x
  2. Step 2: Convert to fraction form
    433,916.10/648,235.43 = 280,866.42/x
  3. Step 3: Cross multiply
    433,916.10x = 648,235.43 × 280,866.42
  4. Step 4: Simplify right side
    433,916.10x = 182,067,563,136.93
  5. Step 5: Solve for x
    x = 182,067,563,136.93/433,916.10
  6. Step 6: Final answer
    x = 419,591.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.