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Finding the Fourth Proportional to 505,159.02, 697,215.96 and 311,631.30

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Solution

The fourth proportional to 505,159.02, 697,215.96 and 311,631.30 is: 430,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,159.02 : 697,215.96 = 311,631.30 : x
  2. Step 2: Convert to fraction form
    505,159.02/697,215.96 = 311,631.30/x
  3. Step 3: Cross multiply
    505,159.02x = 697,215.96 × 311,631.30
  4. Step 4: Simplify right side
    505,159.02x = 217,274,315,995.55
  5. Step 5: Solve for x
    x = 217,274,315,995.55/505,159.02
  6. Step 6: Final answer
    x = 430,110.73

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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.