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Finding the Fourth Proportional to 208,483.28, 312,725 and 50,710.76

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Solution

The fourth proportional to 208,483.28, 312,725 and 50,710.76 is: 76,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,483.28 : 312,725 = 50,710.76 : x
  2. Step 2: Convert to fraction form
    208,483.28/312,725 = 50,710.76/x
  3. Step 3: Cross multiply
    208,483.28x = 312,725 × 50,710.76
  4. Step 4: Simplify right side
    208,483.28x = 15,858,522,421
  5. Step 5: Solve for x
    x = 15,858,522,421/208,483.28
  6. Step 6: Final answer
    x = 76,066.16

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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.