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Finding the Fourth Proportional to 458,078.50, 631,885.70 and 285,697.19

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Solution

The fourth proportional to 458,078.50, 631,885.70 and 285,697.19 is: 394,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,078.50 : 631,885.70 = 285,697.19 : x
  2. Step 2: Convert to fraction form
    458,078.50/631,885.70 = 285,697.19/x
  3. Step 3: Cross multiply
    458,078.50x = 631,885.70 × 285,697.19
  4. Step 4: Simplify right side
    458,078.50x = 180,527,970,667.57
  5. Step 5: Solve for x
    x = 180,527,970,667.57/458,078.50
  6. Step 6: Final answer
    x = 394,098.32

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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.