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Finding the Fourth Proportional to 370,473.81, 511,254.37 and 200,707.93

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Solution

The fourth proportional to 370,473.81, 511,254.37 and 200,707.93 is: 276,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,473.81 : 511,254.37 = 200,707.93 : x
  2. Step 2: Convert to fraction form
    370,473.81/511,254.37 = 200,707.93/x
  3. Step 3: Cross multiply
    370,473.81x = 511,254.37 × 200,707.93
  4. Step 4: Simplify right side
    370,473.81x = 102,612,806,306.15
  5. Step 5: Solve for x
    x = 102,612,806,306.15/370,473.81
  6. Step 6: Final answer
    x = 276,977.22

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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.