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Finding the Fourth Proportional to 340,706.40, 511,158.24 and 140,989.92

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Solution

The fourth proportional to 340,706.40, 511,158.24 and 140,989.92 is: 211,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,706.40 : 511,158.24 = 140,989.92 : x
  2. Step 2: Convert to fraction form
    340,706.40/511,158.24 = 140,989.92/x
  3. Step 3: Cross multiply
    340,706.40x = 511,158.24 × 140,989.92
  4. Step 4: Simplify right side
    340,706.40x = 72,068,159,364.94
  5. Step 5: Solve for x
    x = 72,068,159,364.94/340,706.40
  6. Step 6: Final answer
    x = 211,525.70

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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.