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Finding the Fourth Proportional to 680,740.22, 1,020,978.57 and 259,916.06

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Solution

The fourth proportional to 680,740.22, 1,020,978.57 and 259,916.06 is: 389,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,740.22 : 1,020,978.57 = 259,916.06 : x
  2. Step 2: Convert to fraction form
    680,740.22/1,020,978.57 = 259,916.06/x
  3. Step 3: Cross multiply
    680,740.22x = 1,020,978.57 × 259,916.06
  4. Step 4: Simplify right side
    680,740.22x = 265,368,727,258.83
  5. Step 5: Solve for x
    x = 265,368,727,258.83/680,740.22
  6. Step 6: Final answer
    x = 389,823.78

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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.