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Finding the Fourth Proportional to 763,014, 1,144,725.12 and 264,378

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Solution

The fourth proportional to 763,014, 1,144,725.12 and 264,378 is: 396,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,014 : 1,144,725.12 = 264,378 : x
  2. Step 2: Convert to fraction form
    763,014/1,144,725.12 = 264,378/x
  3. Step 3: Cross multiply
    763,014x = 1,144,725.12 × 264,378
  4. Step 4: Simplify right side
    763,014x = 302,640,137,775.36
  5. Step 5: Solve for x
    x = 302,640,137,775.36/763,014
  6. Step 6: Final answer
    x = 396,637.73

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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.