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Finding the Fourth Proportional to 978,233.80, 1,467,350.70 and 642,310.60

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Solution

The fourth proportional to 978,233.80, 1,467,350.70 and 642,310.60 is: 963,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,233.80 : 1,467,350.70 = 642,310.60 : x
  2. Step 2: Convert to fraction form
    978,233.80/1,467,350.70 = 642,310.60/x
  3. Step 3: Cross multiply
    978,233.80x = 1,467,350.70 × 642,310.60
  4. Step 4: Simplify right side
    978,233.80x = 942,494,908,527.42
  5. Step 5: Solve for x
    x = 942,494,908,527.42/978,233.80
  6. Step 6: Final answer
    x = 963,465.90

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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.