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Finding the Fourth Proportional to 465,952, 643,014.48 and 264,786.88

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Solution

The fourth proportional to 465,952, 643,014.48 and 264,786.88 is: 365,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,952 : 643,014.48 = 264,786.88 : x
  2. Step 2: Convert to fraction form
    465,952/643,014.48 = 264,786.88/x
  3. Step 3: Cross multiply
    465,952x = 643,014.48 × 264,786.88
  4. Step 4: Simplify right side
    465,952x = 170,261,797,954.02
  5. Step 5: Solve for x
    x = 170,261,797,954.02/465,952
  6. Step 6: Final answer
    x = 365,406.30

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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.