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Finding the Fourth Proportional to 208,306, 312,473.58 and 83,647

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Solution

The fourth proportional to 208,306, 312,473.58 and 83,647 is: 125,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,306 : 312,473.58 = 83,647 : x
  2. Step 2: Convert to fraction form
    208,306/312,473.58 = 83,647/x
  3. Step 3: Cross multiply
    208,306x = 312,473.58 × 83,647
  4. Step 4: Simplify right side
    208,306x = 26,137,477,546.26
  5. Step 5: Solve for x
    x = 26,137,477,546.26/208,306
  6. Step 6: Final answer
    x = 125,476.35

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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.