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Finding the Fourth Proportional to 415,218.40, 621,843.45 and 415,218.40

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Solution

The fourth proportional to 415,218.40, 621,843.45 and 415,218.40 is: 621,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,218.40 : 621,843.45 = 415,218.40 : x
  2. Step 2: Convert to fraction form
    415,218.40/621,843.45 = 415,218.40/x
  3. Step 3: Cross multiply
    415,218.40x = 621,843.45 × 415,218.40
  4. Step 4: Simplify right side
    415,218.40x = 258,200,842,359.48
  5. Step 5: Solve for x
    x = 258,200,842,359.48/415,218.40
  6. Step 6: Final answer
    x = 621,843.45

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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.