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Finding the Fourth Proportional to 719,874.72, 993,466.08 and 413,947.44

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Solution

The fourth proportional to 719,874.72, 993,466.08 and 413,947.44 is: 571,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,874.72 : 993,466.08 = 413,947.44 : x
  2. Step 2: Convert to fraction form
    719,874.72/993,466.08 = 413,947.44/x
  3. Step 3: Cross multiply
    719,874.72x = 993,466.08 × 413,947.44
  4. Step 4: Simplify right side
    719,874.72x = 411,242,740,542.84
  5. Step 5: Solve for x
    x = 411,242,740,542.84/719,874.72
  6. Step 6: Final answer
    x = 571,269.87

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1.5x scale

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.