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Finding the Fourth Proportional to 508,182.39, 762,356.48 and 208,582.56

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Solution

The fourth proportional to 508,182.39, 762,356.48 and 208,582.56 is: 312,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,182.39 : 762,356.48 = 208,582.56 : x
  2. Step 2: Convert to fraction form
    508,182.39/762,356.48 = 208,582.56/x
  3. Step 3: Cross multiply
    508,182.39x = 762,356.48 × 208,582.56
  4. Step 4: Simplify right side
    508,182.39x = 159,014,265,188.08
  5. Step 5: Solve for x
    x = 159,014,265,188.08/508,182.39
  6. Step 6: Final answer
    x = 312,907.86

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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.