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Finding the Fourth Proportional to 777,312, 1,165,968 and 216,361.08

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Solution

The fourth proportional to 777,312, 1,165,968 and 216,361.08 is: 324,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,312 : 1,165,968 = 216,361.08 : x
  2. Step 2: Convert to fraction form
    777,312/1,165,968 = 216,361.08/x
  3. Step 3: Cross multiply
    777,312x = 1,165,968 × 216,361.08
  4. Step 4: Simplify right side
    777,312x = 252,270,095,725.44
  5. Step 5: Solve for x
    x = 252,270,095,725.44/777,312
  6. Step 6: Final answer
    x = 324,541.62

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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.