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Finding the Fourth Proportional to 461,421.20, 692,131.80 and 212,589.20

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Solution

The fourth proportional to 461,421.20, 692,131.80 and 212,589.20 is: 318,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,421.20 : 692,131.80 = 212,589.20 : x
  2. Step 2: Convert to fraction form
    461,421.20/692,131.80 = 212,589.20/x
  3. Step 3: Cross multiply
    461,421.20x = 692,131.80 × 212,589.20
  4. Step 4: Simplify right side
    461,421.20x = 147,139,745,656.56
  5. Step 5: Solve for x
    x = 147,139,745,656.56/461,421.20
  6. Step 6: Final answer
    x = 318,883.80

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1.5x scale

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.