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Finding the Fourth Proportional to 415,291.50, 622,511.70 and 315,239.90

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Solution

The fourth proportional to 415,291.50, 622,511.70 and 315,239.90 is: 472,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,291.50 : 622,511.70 = 315,239.90 : x
  2. Step 2: Convert to fraction form
    415,291.50/622,511.70 = 315,239.90/x
  3. Step 3: Cross multiply
    415,291.50x = 622,511.70 × 315,239.90
  4. Step 4: Simplify right side
    415,291.50x = 196,240,521,762.12
  5. Step 5: Solve for x
    x = 196,240,521,762.12/415,291.50
  6. Step 6: Final answer
    x = 472,536.81

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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.