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Finding the Fourth Proportional to 505,074.84, 697,000.86 and 278,734.20

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Solution

The fourth proportional to 505,074.84, 697,000.86 and 278,734.20 is: 384,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,074.84 : 697,000.86 = 278,734.20 : x
  2. Step 2: Convert to fraction form
    505,074.84/697,000.86 = 278,734.20/x
  3. Step 3: Cross multiply
    505,074.84x = 697,000.86 × 278,734.20
  4. Step 4: Simplify right side
    505,074.84x = 194,277,977,111.41
  5. Step 5: Solve for x
    x = 194,277,977,111.41/505,074.84
  6. Step 6: Final answer
    x = 384,651.86

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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.