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Finding the Fourth Proportional to 370,516.37, 511,305.91 and 209,367.93

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Solution

The fourth proportional to 370,516.37, 511,305.91 and 209,367.93 is: 288,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,516.37 : 511,305.91 = 209,367.93 : x
  2. Step 2: Convert to fraction form
    370,516.37/511,305.91 = 209,367.93/x
  3. Step 3: Cross multiply
    370,516.37x = 511,305.91 × 209,367.93
  4. Step 4: Simplify right side
    370,516.37x = 107,051,059,973.47
  5. Step 5: Solve for x
    x = 107,051,059,973.47/370,516.37
  6. Step 6: Final answer
    x = 288,923.97

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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.