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Finding the Fourth Proportional to 388,109, 581,848.14 and 174,720.20

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Solution

The fourth proportional to 388,109, 581,848.14 and 174,720.20 is: 261,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,109 : 581,848.14 = 174,720.20 : x
  2. Step 2: Convert to fraction form
    388,109/581,848.14 = 174,720.20/x
  3. Step 3: Cross multiply
    388,109x = 581,848.14 × 174,720.20
  4. Step 4: Simplify right side
    388,109x = 101,660,623,390.43
  5. Step 5: Solve for x
    x = 101,660,623,390.43/388,109
  6. Step 6: Final answer
    x = 261,938.33

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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.