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Finding the Fourth Proportional to 341,307, 511,960.50 and 91,989

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Solution

The fourth proportional to 341,307, 511,960.50 and 91,989 is: 137,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,307 : 511,960.50 = 91,989 : x
  2. Step 2: Convert to fraction form
    341,307/511,960.50 = 91,989/x
  3. Step 3: Cross multiply
    341,307x = 511,960.50 × 91,989
  4. Step 4: Simplify right side
    341,307x = 47,094,734,434.50
  5. Step 5: Solve for x
    x = 47,094,734,434.50/341,307
  6. Step 6: Final answer
    x = 137,983.50

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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.