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Finding the Fourth Proportional to 341,807.40, 511,328.70 and 308,629.80

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Solution

The fourth proportional to 341,807.40, 511,328.70 and 308,629.80 is: 461,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,807.40 : 511,328.70 = 308,629.80 : x
  2. Step 2: Convert to fraction form
    341,807.40/511,328.70 = 308,629.80/x
  3. Step 3: Cross multiply
    341,807.40x = 511,328.70 × 308,629.80
  4. Step 4: Simplify right side
    341,807.40x = 157,811,274,415.26
  5. Step 5: Solve for x
    x = 157,811,274,415.26/341,807.40
  6. Step 6: Final answer
    x = 461,696.48

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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.