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Finding the Fourth Proportional to 338,969.16, 506,016.81 and 314,362.44

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Solution

The fourth proportional to 338,969.16, 506,016.81 and 314,362.44 is: 469,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,969.16 : 506,016.81 = 314,362.44 : x
  2. Step 2: Convert to fraction form
    338,969.16/506,016.81 = 314,362.44/x
  3. Step 3: Cross multiply
    338,969.16x = 506,016.81 × 314,362.44
  4. Step 4: Simplify right side
    338,969.16x = 159,072,679,072.62
  5. Step 5: Solve for x
    x = 159,072,679,072.62/338,969.16
  6. Step 6: Final answer
    x = 469,283.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.