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Finding the Fourth Proportional to 512,594.32, 768,953.04 and 213,277.45

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Solution

The fourth proportional to 512,594.32, 768,953.04 and 213,277.45 is: 319,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,594.32 : 768,953.04 = 213,277.45 : x
  2. Step 2: Convert to fraction form
    512,594.32/768,953.04 = 213,277.45/x
  3. Step 3: Cross multiply
    512,594.32x = 768,953.04 × 213,277.45
  4. Step 4: Simplify right side
    512,594.32x = 164,000,343,540.95
  5. Step 5: Solve for x
    x = 164,000,343,540.95/512,594.32
  6. Step 6: Final answer
    x = 319,941.79

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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.