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Finding the Fourth Proportional to 284,728.10, 426,314.55 and 205,412.90

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Solution

The fourth proportional to 284,728.10, 426,314.55 and 205,412.90 is: 307,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,728.10 : 426,314.55 = 205,412.90 : x
  2. Step 2: Convert to fraction form
    284,728.10/426,314.55 = 205,412.90/x
  3. Step 3: Cross multiply
    284,728.10x = 426,314.55 × 205,412.90
  4. Step 4: Simplify right side
    284,728.10x = 87,570,508,027.70
  5. Step 5: Solve for x
    x = 87,570,508,027.70/284,728.10
  6. Step 6: Final answer
    x = 307,558.36

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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.