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Finding the Fourth Proportional to 380,648.75, 570,973.13 and 127,929.25

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Solution

The fourth proportional to 380,648.75, 570,973.13 and 127,929.25 is: 191,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,648.75 : 570,973.13 = 127,929.25 : x
  2. Step 2: Convert to fraction form
    380,648.75/570,973.13 = 127,929.25/x
  3. Step 3: Cross multiply
    380,648.75x = 570,973.13 × 127,929.25
  4. Step 4: Simplify right side
    380,648.75x = 73,044,164,291.05
  5. Step 5: Solve for x
    x = 73,044,164,291.05/380,648.75
  6. Step 6: Final answer
    x = 191,893.88

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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.