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Finding the Fourth Proportional to 341,147.40, 511,056.12 and 207,696.72

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Solution

The fourth proportional to 341,147.40, 511,056.12 and 207,696.72 is: 311,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,147.40 : 511,056.12 = 207,696.72 : x
  2. Step 2: Convert to fraction form
    341,147.40/511,056.12 = 207,696.72/x
  3. Step 3: Cross multiply
    341,147.40x = 511,056.12 × 207,696.72
  4. Step 4: Simplify right side
    341,147.40x = 106,144,679,859.93
  5. Step 5: Solve for x
    x = 106,144,679,859.93/341,147.40
  6. Step 6: Final answer
    x = 311,140.23

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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.