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Finding the Fourth Proportional to 580,362.28, 800,978.16 and 325,727.44

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Solution

The fourth proportional to 580,362.28, 800,978.16 and 325,727.44 is: 449,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,362.28 : 800,978.16 = 325,727.44 : x
  2. Step 2: Convert to fraction form
    580,362.28/800,978.16 = 325,727.44/x
  3. Step 3: Cross multiply
    580,362.28x = 800,978.16 × 325,727.44
  4. Step 4: Simplify right side
    580,362.28x = 260,900,565,552.71
  5. Step 5: Solve for x
    x = 260,900,565,552.71/580,362.28
  6. Step 6: Final answer
    x = 449,547.76

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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.