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Finding the Fourth Proportional to 258,870.63, 388,370.64 and 205,762.98

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Solution

The fourth proportional to 258,870.63, 388,370.64 and 205,762.98 is: 308,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,870.63 : 388,370.64 = 205,762.98 : x
  2. Step 2: Convert to fraction form
    258,870.63/388,370.64 = 205,762.98/x
  3. Step 3: Cross multiply
    258,870.63x = 388,370.64 × 205,762.98
  4. Step 4: Simplify right side
    258,870.63x = 79,912,300,230.91
  5. Step 5: Solve for x
    x = 79,912,300,230.91/258,870.63
  6. Step 6: Final answer
    x = 308,695.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.