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Finding the Fourth Proportional to 505,257.12, 697,253.40 and 278,901

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Solution

The fourth proportional to 505,257.12, 697,253.40 and 278,901 is: 384,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,257.12 : 697,253.40 = 278,901 : x
  2. Step 2: Convert to fraction form
    505,257.12/697,253.40 = 278,901/x
  3. Step 3: Cross multiply
    505,257.12x = 697,253.40 × 278,901
  4. Step 4: Simplify right side
    505,257.12x = 194,464,670,513.40
  5. Step 5: Solve for x
    x = 194,464,670,513.40/505,257.12
  6. Step 6: Final answer
    x = 384,882.59

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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.