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Finding the Fourth Proportional to 415,267.80, 622,901.70 and 412,643.40

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Solution

The fourth proportional to 415,267.80, 622,901.70 and 412,643.40 is: 618,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,267.80 : 622,901.70 = 412,643.40 : x
  2. Step 2: Convert to fraction form
    415,267.80/622,901.70 = 412,643.40/x
  3. Step 3: Cross multiply
    415,267.80x = 622,901.70 × 412,643.40
  4. Step 4: Simplify right side
    415,267.80x = 257,036,275,353.78
  5. Step 5: Solve for x
    x = 257,036,275,353.78/415,267.80
  6. Step 6: Final answer
    x = 618,965.10

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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.