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Finding the Fourth Proportional to 505,466.86, 697,663.92 and 290,731

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Solution

The fourth proportional to 505,466.86, 697,663.92 and 290,731 is: 401,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,466.86 : 697,663.92 = 290,731 : x
  2. Step 2: Convert to fraction form
    505,466.86/697,663.92 = 290,731/x
  3. Step 3: Cross multiply
    505,466.86x = 697,663.92 × 290,731
  4. Step 4: Simplify right side
    505,466.86x = 202,832,529,125.52
  5. Step 5: Solve for x
    x = 202,832,529,125.52/505,466.86
  6. Step 6: Final answer
    x = 401,277.60

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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.