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Finding the Fourth Proportional to 370,390.32, 511,100.28 and 209,262.96

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Solution

The fourth proportional to 370,390.32, 511,100.28 and 209,262.96 is: 288,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,390.32 : 511,100.28 = 209,262.96 : x
  2. Step 2: Convert to fraction form
    370,390.32/511,100.28 = 209,262.96/x
  3. Step 3: Cross multiply
    370,390.32x = 511,100.28 × 209,262.96
  4. Step 4: Simplify right side
    370,390.32x = 106,954,357,449.63
  5. Step 5: Solve for x
    x = 106,954,357,449.63/370,390.32
  6. Step 6: Final answer
    x = 288,761.21

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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.