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Finding the Fourth Proportional to 370,487.16, 511,272.82 and 200,721.30

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Solution

The fourth proportional to 370,487.16, 511,272.82 and 200,721.30 is: 276,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,487.16 : 511,272.82 = 200,721.30 : x
  2. Step 2: Convert to fraction form
    370,487.16/511,272.82 = 200,721.30/x
  3. Step 3: Cross multiply
    370,487.16x = 511,272.82 × 200,721.30
  4. Step 4: Simplify right side
    370,487.16x = 102,623,345,085.07
  5. Step 5: Solve for x
    x = 102,623,345,085.07/370,487.16
  6. Step 6: Final answer
    x = 276,995.69

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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.