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Finding the Fourth Proportional to 388,900, 536,682.36 and 210,052

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Solution

The fourth proportional to 388,900, 536,682.36 and 210,052 is: 289,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,900 : 536,682.36 = 210,052 : x
  2. Step 2: Convert to fraction form
    388,900/536,682.36 = 210,052/x
  3. Step 3: Cross multiply
    388,900x = 536,682.36 × 210,052
  4. Step 4: Simplify right side
    388,900x = 112,731,203,082.72
  5. Step 5: Solve for x
    x = 112,731,203,082.72/388,900
  6. Step 6: Final answer
    x = 289,871.95

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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.