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Finding the Fourth Proportional to 370,342.48, 511,071.78 and 200,576.20

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Solution

The fourth proportional to 370,342.48, 511,071.78 and 200,576.20 is: 276,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,342.48 : 511,071.78 = 200,576.20 : x
  2. Step 2: Convert to fraction form
    370,342.48/511,071.78 = 200,576.20/x
  3. Step 3: Cross multiply
    370,342.48x = 511,071.78 × 200,576.20
  4. Step 4: Simplify right side
    370,342.48x = 102,508,835,559.64
  5. Step 5: Solve for x
    x = 102,508,835,559.64/370,342.48
  6. Step 6: Final answer
    x = 276,794.70

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1.5x scale

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.