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Finding the Fourth Proportional to 512,392.65, 768,616.95 and 212,903.52

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Solution

The fourth proportional to 512,392.65, 768,616.95 and 212,903.52 is: 319,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,392.65 : 768,616.95 = 212,903.52 : x
  2. Step 2: Convert to fraction form
    512,392.65/768,616.95 = 212,903.52/x
  3. Step 3: Cross multiply
    512,392.65x = 768,616.95 × 212,903.52
  4. Step 4: Simplify right side
    512,392.65x = 163,641,254,186.66
  5. Step 5: Solve for x
    x = 163,641,254,186.66/512,392.65
  6. Step 6: Final answer
    x = 319,366.90

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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.