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Finding the Fourth Proportional to 380,006.48, 569,825.64 and 155,277.68

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Solution

The fourth proportional to 380,006.48, 569,825.64 and 155,277.68 is: 232,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,006.48 : 569,825.64 = 155,277.68 : x
  2. Step 2: Convert to fraction form
    380,006.48/569,825.64 = 155,277.68/x
  3. Step 3: Cross multiply
    380,006.48x = 569,825.64 × 155,277.68
  4. Step 4: Simplify right side
    380,006.48x = 88,481,203,383.72
  5. Step 5: Solve for x
    x = 88,481,203,383.72/380,006.48
  6. Step 6: Final answer
    x = 232,841.30

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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.