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Finding the Fourth Proportional to 532,834.32, 798,732 and 212,890.80

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Solution

The fourth proportional to 532,834.32, 798,732 and 212,890.80 is: 319,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,834.32 : 798,732 = 212,890.80 : x
  2. Step 2: Convert to fraction form
    532,834.32/798,732 = 212,890.80/x
  3. Step 3: Cross multiply
    532,834.32x = 798,732 × 212,890.80
  4. Step 4: Simplify right side
    532,834.32x = 170,042,694,465.60
  5. Step 5: Solve for x
    x = 170,042,694,465.60/532,834.32
  6. Step 6: Final answer
    x = 319,128.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.