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Finding the Fourth Proportional to 560,844.32, 773,978.32 and 306,197.28

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Solution

The fourth proportional to 560,844.32, 773,978.32 and 306,197.28 is: 422,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,844.32 : 773,978.32 = 306,197.28 : x
  2. Step 2: Convert to fraction form
    560,844.32/773,978.32 = 306,197.28/x
  3. Step 3: Cross multiply
    560,844.32x = 773,978.32 × 306,197.28
  4. Step 4: Simplify right side
    560,844.32x = 236,990,056,362.97
  5. Step 5: Solve for x
    x = 236,990,056,362.97/560,844.32
  6. Step 6: Final answer
    x = 422,559.43

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1.5x scale

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.