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Finding the Fourth Proportional to 505,071.60, 697,013.49 and 275,643.65

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Solution

The fourth proportional to 505,071.60, 697,013.49 and 275,643.65 is: 380,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,071.60 : 697,013.49 = 275,643.65 : x
  2. Step 2: Convert to fraction form
    505,071.60/697,013.49 = 275,643.65/x
  3. Step 3: Cross multiply
    505,071.60x = 697,013.49 × 275,643.65
  4. Step 4: Simplify right side
    505,071.60x = 192,127,338,997.77
  5. Step 5: Solve for x
    x = 192,127,338,997.77/505,071.60
  6. Step 6: Final answer
    x = 380,396.24

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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.