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Finding the Fourth Proportional to 646,548.47, 969,903.21 and 220,051.52

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Solution

The fourth proportional to 646,548.47, 969,903.21 and 220,051.52 is: 330,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,548.47 : 969,903.21 = 220,051.52 : x
  2. Step 2: Convert to fraction form
    646,548.47/969,903.21 = 220,051.52/x
  3. Step 3: Cross multiply
    646,548.47x = 969,903.21 × 220,051.52
  4. Step 4: Simplify right side
    646,548.47x = 213,428,670,763.86
  5. Step 5: Solve for x
    x = 213,428,670,763.86/646,548.47
  6. Step 6: Final answer
    x = 330,104.67

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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.