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Finding the Fourth Proportional to 305,365.20, 457,829.10 and 127,780.80

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Solution

The fourth proportional to 305,365.20, 457,829.10 and 127,780.80 is: 191,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,365.20 : 457,829.10 = 127,780.80 : x
  2. Step 2: Convert to fraction form
    305,365.20/457,829.10 = 127,780.80/x
  3. Step 3: Cross multiply
    305,365.20x = 457,829.10 × 127,780.80
  4. Step 4: Simplify right side
    305,365.20x = 58,501,768,661.28
  5. Step 5: Solve for x
    x = 58,501,768,661.28/305,365.20
  6. Step 6: Final answer
    x = 191,579.68

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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.