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Finding the Fourth Proportional to 465,389.80, 642,237.52 and 264,185.80

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Solution

The fourth proportional to 465,389.80, 642,237.52 and 264,185.80 is: 364,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,389.80 : 642,237.52 = 264,185.80 : x
  2. Step 2: Convert to fraction form
    465,389.80/642,237.52 = 264,185.80/x
  3. Step 3: Cross multiply
    465,389.80x = 642,237.52 × 264,185.80
  4. Step 4: Simplify right side
    465,389.80x = 169,670,033,011.22
  5. Step 5: Solve for x
    x = 169,670,033,011.22/465,389.80
  6. Step 6: Final answer
    x = 364,576.17

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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.