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Finding the Fourth Proportional to 362,355.15, 499,227.27 and 280,401.57

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Solution

The fourth proportional to 362,355.15, 499,227.27 and 280,401.57 is: 386,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,355.15 : 499,227.27 = 280,401.57 : x
  2. Step 2: Convert to fraction form
    362,355.15/499,227.27 = 280,401.57/x
  3. Step 3: Cross multiply
    362,355.15x = 499,227.27 × 280,401.57
  4. Step 4: Simplify right side
    362,355.15x = 139,984,110,294.81
  5. Step 5: Solve for x
    x = 139,984,110,294.81/362,355.15
  6. Step 6: Final answer
    x = 386,317.43

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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.