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Finding the Fourth Proportional to 340,743.80, 511,352.86 and 141,065.22

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Solution

The fourth proportional to 340,743.80, 511,352.86 and 141,065.22 is: 211,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,743.80 : 511,352.86 = 141,065.22 : x
  2. Step 2: Convert to fraction form
    340,743.80/511,352.86 = 141,065.22/x
  3. Step 3: Cross multiply
    340,743.80x = 511,352.86 × 141,065.22
  4. Step 4: Simplify right side
    340,743.80x = 72,134,103,693.53
  5. Step 5: Solve for x
    x = 72,134,103,693.53/340,743.80
  6. Step 6: Final answer
    x = 211,696.01

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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.