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Finding the Fourth Proportional to 505,205, 697,182.90 and 278,850.50

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Solution

The fourth proportional to 505,205, 697,182.90 and 278,850.50 is: 384,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,205 : 697,182.90 = 278,850.50 : x
  2. Step 2: Convert to fraction form
    505,205/697,182.90 = 278,850.50/x
  3. Step 3: Cross multiply
    505,205x = 697,182.90 × 278,850.50
  4. Step 4: Simplify right side
    505,205x = 194,409,800,256.45
  5. Step 5: Solve for x
    x = 194,409,800,256.45/505,205
  6. Step 6: Final answer
    x = 384,813.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.