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Finding the Fourth Proportional to 644,643.36, 967,140 and 195,346.08

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Solution

The fourth proportional to 644,643.36, 967,140 and 195,346.08 is: 293,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,643.36 : 967,140 = 195,346.08 : x
  2. Step 2: Convert to fraction form
    644,643.36/967,140 = 195,346.08/x
  3. Step 3: Cross multiply
    644,643.36x = 967,140 × 195,346.08
  4. Step 4: Simplify right side
    644,643.36x = 188,927,007,811.20
  5. Step 5: Solve for x
    x = 188,927,007,811.20/644,643.36
  6. Step 6: Final answer
    x = 293,072.14

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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.