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Finding the Fourth Proportional to 380,671.84, 571,011.80 and 155,974.60

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Solution

The fourth proportional to 380,671.84, 571,011.80 and 155,974.60 is: 233,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,671.84 : 571,011.80 = 155,974.60 : x
  2. Step 2: Convert to fraction form
    380,671.84/571,011.80 = 155,974.60/x
  3. Step 3: Cross multiply
    380,671.84x = 571,011.80 × 155,974.60
  4. Step 4: Simplify right side
    380,671.84x = 89,063,337,100.28
  5. Step 5: Solve for x
    x = 89,063,337,100.28/380,671.84
  6. Step 6: Final answer
    x = 233,963.56

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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.