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Finding the Fourth Proportional to 644,928.40, 967,400.70 and 195,653.80

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Solution

The fourth proportional to 644,928.40, 967,400.70 and 195,653.80 is: 293,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,928.40 : 967,400.70 = 195,653.80 : x
  2. Step 2: Convert to fraction form
    644,928.40/967,400.70 = 195,653.80/x
  3. Step 3: Cross multiply
    644,928.40x = 967,400.70 × 195,653.80
  4. Step 4: Simplify right side
    644,928.40x = 189,275,623,077.66
  5. Step 5: Solve for x
    x = 189,275,623,077.66/644,928.40
  6. Step 6: Final answer
    x = 293,483.16

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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.