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Finding the Fourth Proportional to 301,915.48, 415,923.26 and 211,101.52

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Solution

The fourth proportional to 301,915.48, 415,923.26 and 211,101.52 is: 290,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,915.48 : 415,923.26 = 211,101.52 : x
  2. Step 2: Convert to fraction form
    301,915.48/415,923.26 = 211,101.52/x
  3. Step 3: Cross multiply
    301,915.48x = 415,923.26 × 211,101.52
  4. Step 4: Simplify right side
    301,915.48x = 87,802,032,389.36
  5. Step 5: Solve for x
    x = 87,802,032,389.36/301,915.48
  6. Step 6: Final answer
    x = 290,816.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.