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Finding the Fourth Proportional to 505,070.85, 697,012.46 and 275,642.89

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Solution

The fourth proportional to 505,070.85, 697,012.46 and 275,642.89 is: 380,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,070.85 : 697,012.46 = 275,642.89 : x
  2. Step 2: Convert to fraction form
    505,070.85/697,012.46 = 275,642.89/x
  3. Step 3: Cross multiply
    505,070.85x = 697,012.46 × 275,642.89
  4. Step 4: Simplify right side
    505,070.85x = 192,126,527,786.99
  5. Step 5: Solve for x
    x = 192,126,527,786.99/505,070.85
  6. Step 6: Final answer
    x = 380,395.20

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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.