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Finding the Fourth Proportional to 370,575, 511,393.50 and 200,809.13

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Solution

The fourth proportional to 370,575, 511,393.50 and 200,809.13 is: 277,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,575 : 511,393.50 = 200,809.13 : x
  2. Step 2: Convert to fraction form
    370,575/511,393.50 = 200,809.13/x
  3. Step 3: Cross multiply
    370,575x = 511,393.50 × 200,809.13
  4. Step 4: Simplify right side
    370,575x = 102,692,481,265.69
  5. Step 5: Solve for x
    x = 102,692,481,265.69/370,575
  6. Step 6: Final answer
    x = 277,116.59

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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.