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Finding the Fourth Proportional to 380,862.72, 525,607.62 and 217,533.42

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Solution

The fourth proportional to 380,862.72, 525,607.62 and 217,533.42 is: 300,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,862.72 : 525,607.62 = 217,533.42 : x
  2. Step 2: Convert to fraction form
    380,862.72/525,607.62 = 217,533.42/x
  3. Step 3: Cross multiply
    380,862.72x = 525,607.62 × 217,533.42
  4. Step 4: Simplify right side
    380,862.72x = 114,337,223,156.66
  5. Step 5: Solve for x
    x = 114,337,223,156.66/380,862.72
  6. Step 6: Final answer
    x = 300,205.87

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