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Finding the Fourth Proportional to 385,102.86, 531,401.06 and 212,993.48

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Solution

The fourth proportional to 385,102.86, 531,401.06 and 212,993.48 is: 293,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,102.86 : 531,401.06 = 212,993.48 : x
  2. Step 2: Convert to fraction form
    385,102.86/531,401.06 = 212,993.48/x
  3. Step 3: Cross multiply
    385,102.86x = 531,401.06 × 212,993.48
  4. Step 4: Simplify right side
    385,102.86x = 113,184,957,323.12
  5. Step 5: Solve for x
    x = 113,184,957,323.12/385,102.86
  6. Step 6: Final answer
    x = 293,908.38

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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.