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Finding the Fourth Proportional to 380,664.82, 571,001.28 and 155,967.58

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Solution

The fourth proportional to 380,664.82, 571,001.28 and 155,967.58 is: 233,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,664.82 : 571,001.28 = 155,967.58 : x
  2. Step 2: Convert to fraction form
    380,664.82/571,001.28 = 155,967.58/x
  3. Step 3: Cross multiply
    380,664.82x = 571,001.28 × 155,967.58
  4. Step 4: Simplify right side
    380,664.82x = 89,057,687,818.50
  5. Step 5: Solve for x
    x = 89,057,687,818.50/380,664.82
  6. Step 6: Final answer
    x = 233,953.03

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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.