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Finding the Fourth Proportional to 340,707.40, 511,159.74 and 140,990.92

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Solution

The fourth proportional to 340,707.40, 511,159.74 and 140,990.92 is: 211,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,707.40 : 511,159.74 = 140,990.92 : x
  2. Step 2: Convert to fraction form
    340,707.40/511,159.74 = 140,990.92/x
  3. Step 3: Cross multiply
    340,707.40x = 511,159.74 × 140,990.92
  4. Step 4: Simplify right side
    340,707.40x = 72,068,882,009.56
  5. Step 5: Solve for x
    x = 72,068,882,009.56/340,707.40
  6. Step 6: Final answer
    x = 211,527.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.