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Finding the Fourth Proportional to 405,347.98, 559,303.23 and 254,376.94

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Solution

The fourth proportional to 405,347.98, 559,303.23 and 254,376.94 is: 350,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,347.98 : 559,303.23 = 254,376.94 : x
  2. Step 2: Convert to fraction form
    405,347.98/559,303.23 = 254,376.94/x
  3. Step 3: Cross multiply
    405,347.98x = 559,303.23 × 254,376.94
  4. Step 4: Simplify right side
    405,347.98x = 142,273,844,179.52
  5. Step 5: Solve for x
    x = 142,273,844,179.52/405,347.98
  6. Step 6: Final answer
    x = 350,991.87

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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.