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Finding the Fourth Proportional to 385,124.72, 531,431.40 and 213,015.32

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Solution

The fourth proportional to 385,124.72, 531,431.40 and 213,015.32 is: 293,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,124.72 : 531,431.40 = 213,015.32 : x
  2. Step 2: Convert to fraction form
    385,124.72/531,431.40 = 213,015.32/x
  3. Step 3: Cross multiply
    385,124.72x = 531,431.40 × 213,015.32
  4. Step 4: Simplify right side
    385,124.72x = 113,203,029,729.05
  5. Step 5: Solve for x
    x = 113,203,029,729.05/385,124.72
  6. Step 6: Final answer
    x = 293,938.62

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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.