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Finding the Fourth Proportional to 380,927.52, 525,644.64 and 211,147.20

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Solution

The fourth proportional to 380,927.52, 525,644.64 and 211,147.20 is: 291,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,927.52 : 525,644.64 = 211,147.20 : x
  2. Step 2: Convert to fraction form
    380,927.52/525,644.64 = 211,147.20/x
  3. Step 3: Cross multiply
    380,927.52x = 525,644.64 × 211,147.20
  4. Step 4: Simplify right side
    380,927.52x = 110,988,393,931.01
  5. Step 5: Solve for x
    x = 110,988,393,931.01/380,927.52
  6. Step 6: Final answer
    x = 291,363.55

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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.