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Finding the Fourth Proportional to 680,051.55, 1,020,040.41 and 206,700

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Solution

The fourth proportional to 680,051.55, 1,020,040.41 and 206,700 is: 310,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,051.55 : 1,020,040.41 = 206,700 : x
  2. Step 2: Convert to fraction form
    680,051.55/1,020,040.41 = 206,700/x
  3. Step 3: Cross multiply
    680,051.55x = 1,020,040.41 × 206,700
  4. Step 4: Simplify right side
    680,051.55x = 210,842,352,747
  5. Step 5: Solve for x
    x = 210,842,352,747/680,051.55
  6. Step 6: Final answer
    x = 310,038.78

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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.