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Finding the Fourth Proportional to 385,611.53, 532,143.57 and 213,529.48

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Solution

The fourth proportional to 385,611.53, 532,143.57 and 213,529.48 is: 294,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,611.53 : 532,143.57 = 213,529.48 : x
  2. Step 2: Convert to fraction form
    385,611.53/532,143.57 = 213,529.48/x
  3. Step 3: Cross multiply
    385,611.53x = 532,143.57 × 213,529.48
  4. Step 4: Simplify right side
    385,611.53x = 113,628,341,651.63
  5. Step 5: Solve for x
    x = 113,628,341,651.63/385,611.53
  6. Step 6: Final answer
    x = 294,670.50

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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.