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Finding the Fourth Proportional to 465,643.94, 642,641.93 and 258,932.97

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Solution

The fourth proportional to 465,643.94, 642,641.93 and 258,932.97 is: 357,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,643.94 : 642,641.93 = 258,932.97 : x
  2. Step 2: Convert to fraction form
    465,643.94/642,641.93 = 258,932.97/x
  3. Step 3: Cross multiply
    465,643.94x = 642,641.93 × 258,932.97
  4. Step 4: Simplify right side
    465,643.94x = 166,401,182,286.77
  5. Step 5: Solve for x
    x = 166,401,182,286.77/465,643.94
  6. Step 6: Final answer
    x = 357,357.13

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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.