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Finding the Fourth Proportional to 208,307, 312,460.64 and 50,535.48

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Solution

The fourth proportional to 208,307, 312,460.64 and 50,535.48 is: 75,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,307 : 312,460.64 = 50,535.48 : x
  2. Step 2: Convert to fraction form
    208,307/312,460.64 = 50,535.48/x
  3. Step 3: Cross multiply
    208,307x = 312,460.64 × 50,535.48
  4. Step 4: Simplify right side
    208,307x = 15,790,348,423.51
  5. Step 5: Solve for x
    x = 15,790,348,423.51/208,307
  6. Step 6: Final answer
    x = 75,803.25

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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.