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Finding the Fourth Proportional to 415,266.80, 622,900.20 and 412,642.40

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Solution

The fourth proportional to 415,266.80, 622,900.20 and 412,642.40 is: 618,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.80 : 622,900.20 = 412,642.40 : x
  2. Step 2: Convert to fraction form
    415,266.80/622,900.20 = 412,642.40/x
  3. Step 3: Cross multiply
    415,266.80x = 622,900.20 × 412,642.40
  4. Step 4: Simplify right side
    415,266.80x = 257,035,033,488.48
  5. Step 5: Solve for x
    x = 257,035,033,488.48/415,266.80
  6. Step 6: Final answer
    x = 618,963.60

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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.