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Finding the Fourth Proportional to 505,312.12, 697,329.30 and 278,956

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Solution

The fourth proportional to 505,312.12, 697,329.30 and 278,956 is: 384,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,312.12 : 697,329.30 = 278,956 : x
  2. Step 2: Convert to fraction form
    505,312.12/697,329.30 = 278,956/x
  3. Step 3: Cross multiply
    505,312.12x = 697,329.30 × 278,956
  4. Step 4: Simplify right side
    505,312.12x = 194,524,192,210.80
  5. Step 5: Solve for x
    x = 194,524,192,210.80/505,312.12
  6. Step 6: Final answer
    x = 384,958.49

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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.