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Finding the Fourth Proportional to 412,242.78, 617,558.85 and 284,136.30

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Solution

The fourth proportional to 412,242.78, 617,558.85 and 284,136.30 is: 425,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,242.78 : 617,558.85 = 284,136.30 : x
  2. Step 2: Convert to fraction form
    412,242.78/617,558.85 = 284,136.30/x
  3. Step 3: Cross multiply
    412,242.78x = 617,558.85 × 284,136.30
  4. Step 4: Simplify right side
    412,242.78x = 175,470,886,671.26
  5. Step 5: Solve for x
    x = 175,470,886,671.26/412,242.78
  6. Step 6: Final answer
    x = 425,649.39

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1.5x scale

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.