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Finding the Fourth Proportional to 385,880.46, 532,519.08 and 213,803.70

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Solution

The fourth proportional to 385,880.46, 532,519.08 and 213,803.70 is: 295,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,880.46 : 532,519.08 = 213,803.70 : x
  2. Step 2: Convert to fraction form
    385,880.46/532,519.08 = 213,803.70/x
  3. Step 3: Cross multiply
    385,880.46x = 532,519.08 × 213,803.70
  4. Step 4: Simplify right side
    385,880.46x = 113,854,549,624.60
  5. Step 5: Solve for x
    x = 113,854,549,624.60/385,880.46
  6. Step 6: Final answer
    x = 295,051.35

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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.