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Finding the Fourth Proportional to 465,729.40, 642,951.30 and 313,567.66

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Solution

The fourth proportional to 465,729.40, 642,951.30 and 313,567.66 is: 432,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,729.40 : 642,951.30 = 313,567.66 : x
  2. Step 2: Convert to fraction form
    465,729.40/642,951.30 = 313,567.66/x
  3. Step 3: Cross multiply
    465,729.40x = 642,951.30 × 313,567.66
  4. Step 4: Simplify right side
    465,729.40x = 201,608,734,634.96
  5. Step 5: Solve for x
    x = 201,608,734,634.96/465,729.40
  6. Step 6: Final answer
    x = 432,888.14

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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.