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Finding the Fourth Proportional to 505,435.70, 697,277.64 and 342,033.98

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Solution

The fourth proportional to 505,435.70, 697,277.64 and 342,033.98 is: 471,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,435.70 : 697,277.64 = 342,033.98 : x
  2. Step 2: Convert to fraction form
    505,435.70/697,277.64 = 342,033.98/x
  3. Step 3: Cross multiply
    505,435.70x = 697,277.64 × 342,033.98
  4. Step 4: Simplify right side
    505,435.70x = 238,492,646,374.21
  5. Step 5: Solve for x
    x = 238,492,646,374.21/505,435.70
  6. Step 6: Final answer
    x = 471,855.56

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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.