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Finding the Fourth Proportional to 370,576, 511,394.88 and 200,810.13

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Solution

The fourth proportional to 370,576, 511,394.88 and 200,810.13 is: 277,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,576 : 511,394.88 = 200,810.13 : x
  2. Step 2: Convert to fraction form
    370,576/511,394.88 = 200,810.13/x
  3. Step 3: Cross multiply
    370,576x = 511,394.88 × 200,810.13
  4. Step 4: Simplify right side
    370,576x = 102,693,272,334.13
  5. Step 5: Solve for x
    x = 102,693,272,334.13/370,576
  6. Step 6: Final answer
    x = 277,117.98

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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.