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Finding the Fourth Proportional to 645,069.52, 967,808.38 and 290,114.56

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Solution

The fourth proportional to 645,069.52, 967,808.38 and 290,114.56 is: 435,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,069.52 : 967,808.38 = 290,114.56 : x
  2. Step 2: Convert to fraction form
    645,069.52/967,808.38 = 290,114.56/x
  3. Step 3: Cross multiply
    645,069.52x = 967,808.38 × 290,114.56
  4. Step 4: Simplify right side
    645,069.52x = 280,775,302,328.01
  5. Step 5: Solve for x
    x = 280,775,302,328.01/645,069.52
  6. Step 6: Final answer
    x = 435,263.63

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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.