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Finding the Fourth Proportional to 577,165.80, 866,186.10 and 377,419.80

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Solution

The fourth proportional to 577,165.80, 866,186.10 and 377,419.80 is: 566,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,165.80 : 866,186.10 = 377,419.80 : x
  2. Step 2: Convert to fraction form
    577,165.80/866,186.10 = 377,419.80/x
  3. Step 3: Cross multiply
    577,165.80x = 866,186.10 × 377,419.80
  4. Step 4: Simplify right side
    577,165.80x = 326,915,784,624.78
  5. Step 5: Solve for x
    x = 326,915,784,624.78/577,165.80
  6. Step 6: Final answer
    x = 566,415.72

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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.