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Finding the Fourth Proportional to 512,570.19, 768,567.33 and 212,849.13

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Solution

The fourth proportional to 512,570.19, 768,567.33 and 212,849.13 is: 319,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,570.19 : 768,567.33 = 212,849.13 : x
  2. Step 2: Convert to fraction form
    512,570.19/768,567.33 = 212,849.13/x
  3. Step 3: Cross multiply
    512,570.19x = 768,567.33 × 212,849.13
  4. Step 4: Simplify right side
    512,570.19x = 163,588,887,536.92
  5. Step 5: Solve for x
    x = 163,588,887,536.92/512,570.19
  6. Step 6: Final answer
    x = 319,154.12

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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.