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Finding the Fourth Proportional to 380,808.33, 525,494.11 and 208,693.47

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Solution

The fourth proportional to 380,808.33, 525,494.11 and 208,693.47 is: 287,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,808.33 : 525,494.11 = 208,693.47 : x
  2. Step 2: Convert to fraction form
    380,808.33/525,494.11 = 208,693.47/x
  3. Step 3: Cross multiply
    380,808.33x = 525,494.11 × 208,693.47
  4. Step 4: Simplify right side
    380,808.33x = 109,667,189,280.46
  5. Step 5: Solve for x
    x = 109,667,189,280.46/380,808.33
  6. Step 6: Final answer
    x = 287,985.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.