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Finding the Fourth Proportional to 284,727.60, 426,313.80 and 205,412.40

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Solution

The fourth proportional to 284,727.60, 426,313.80 and 205,412.40 is: 307,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,727.60 : 426,313.80 = 205,412.40 : x
  2. Step 2: Convert to fraction form
    284,727.60/426,313.80 = 205,412.40/x
  3. Step 3: Cross multiply
    284,727.60x = 426,313.80 × 205,412.40
  4. Step 4: Simplify right side
    284,727.60x = 87,570,140,811.12
  5. Step 5: Solve for x
    x = 87,570,140,811.12/284,727.60
  6. Step 6: Final answer
    x = 307,557.61

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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.