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Finding the Fourth Proportional to 461,617.20, 692,425.80 and 212,785.20

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Solution

The fourth proportional to 461,617.20, 692,425.80 and 212,785.20 is: 319,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,617.20 : 692,425.80 = 212,785.20 : x
  2. Step 2: Convert to fraction form
    461,617.20/692,425.80 = 212,785.20/x
  3. Step 3: Cross multiply
    461,617.20x = 692,425.80 × 212,785.20
  4. Step 4: Simplify right side
    461,617.20x = 147,337,962,338.16
  5. Step 5: Solve for x
    x = 147,337,962,338.16/461,617.20
  6. Step 6: Final answer
    x = 319,177.80

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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.