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Finding the Fourth Proportional to 680,639.12, 1,020,958.36 and 280,840.32

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Solution

The fourth proportional to 680,639.12, 1,020,958.36 and 280,840.32 is: 421,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,639.12 : 1,020,958.36 = 280,840.32 : x
  2. Step 2: Convert to fraction form
    680,639.12/1,020,958.36 = 280,840.32/x
  3. Step 3: Cross multiply
    680,639.12x = 1,020,958.36 × 280,840.32
  4. Step 4: Simplify right side
    680,639.12x = 286,726,272,529.08
  5. Step 5: Solve for x
    x = 286,726,272,529.08/680,639.12
  6. Step 6: Final answer
    x = 421,260.35

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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.