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Finding the Fourth Proportional to 560,942.64, 774,100.80 and 306,294.03

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Solution

The fourth proportional to 560,942.64, 774,100.80 and 306,294.03 is: 422,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,942.64 : 774,100.80 = 306,294.03 : x
  2. Step 2: Convert to fraction form
    560,942.64/774,100.80 = 306,294.03/x
  3. Step 3: Cross multiply
    560,942.64x = 774,100.80 × 306,294.03
  4. Step 4: Simplify right side
    560,942.64x = 237,102,453,658.22
  5. Step 5: Solve for x
    x = 237,102,453,658.22/560,942.64
  6. Step 6: Final answer
    x = 422,685.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.