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Finding the Fourth Proportional to 515,421.45, 771,689.67 and 388,665

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Solution

The fourth proportional to 515,421.45, 771,689.67 and 388,665 is: 581,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,421.45 : 771,689.67 = 388,665 : x
  2. Step 2: Convert to fraction form
    515,421.45/771,689.67 = 388,665/x
  3. Step 3: Cross multiply
    515,421.45x = 771,689.67 × 388,665
  4. Step 4: Simplify right side
    515,421.45x = 299,928,765,590.55
  5. Step 5: Solve for x
    x = 299,928,765,590.55/515,421.45
  6. Step 6: Final answer
    x = 581,909.75

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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.