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Finding the Fourth Proportional to 680,242.94, 1,020,740.39 and 280,790.30

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Solution

The fourth proportional to 680,242.94, 1,020,740.39 and 280,790.30 is: 421,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,242.94 : 1,020,740.39 = 280,790.30 : x
  2. Step 2: Convert to fraction form
    680,242.94/1,020,740.39 = 280,790.30/x
  3. Step 3: Cross multiply
    680,242.94x = 1,020,740.39 × 280,790.30
  4. Step 4: Simplify right side
    680,242.94x = 286,613,996,986.84
  5. Step 5: Solve for x
    x = 286,613,996,986.84/680,242.94
  6. Step 6: Final answer
    x = 421,340.64

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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.