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Finding the Fourth Proportional to 385,800.72, 532,392.90 and 213,711.78

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Solution

The fourth proportional to 385,800.72, 532,392.90 and 213,711.78 is: 294,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,800.72 : 532,392.90 = 213,711.78 : x
  2. Step 2: Convert to fraction form
    385,800.72/532,392.90 = 213,711.78/x
  3. Step 3: Cross multiply
    385,800.72x = 532,392.90 × 213,711.78
  4. Step 4: Simplify right side
    385,800.72x = 113,778,634,318.36
  5. Step 5: Solve for x
    x = 113,778,634,318.36/385,800.72
  6. Step 6: Final answer
    x = 294,915.56

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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.