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Finding the Fourth Proportional to 505,294.47, 697,316.92 and 275,861.42

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Solution

The fourth proportional to 505,294.47, 697,316.92 and 275,861.42 is: 380,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,294.47 : 697,316.92 = 275,861.42 : x
  2. Step 2: Convert to fraction form
    505,294.47/697,316.92 = 275,861.42/x
  3. Step 3: Cross multiply
    505,294.47x = 697,316.92 × 275,861.42
  4. Step 4: Simplify right side
    505,294.47x = 192,362,835,741.23
  5. Step 5: Solve for x
    x = 192,362,835,741.23/505,294.47
  6. Step 6: Final answer
    x = 380,694.52

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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.