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Finding the Fourth Proportional to 208,469, 312,699.12 and 50,698.28

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Solution

The fourth proportional to 208,469, 312,699.12 and 50,698.28 is: 76,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,469 : 312,699.12 = 50,698.28 : x
  2. Step 2: Convert to fraction form
    208,469/312,699.12 = 50,698.28/x
  3. Step 3: Cross multiply
    208,469x = 312,699.12 × 50,698.28
  4. Step 4: Simplify right side
    208,469x = 15,853,307,541.51
  5. Step 5: Solve for x
    x = 15,853,307,541.51/208,469
  6. Step 6: Final answer
    x = 76,046.35

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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.