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Finding the Fourth Proportional to 680,405.12, 1,020,570.15 and 207,053.54

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Solution

The fourth proportional to 680,405.12, 1,020,570.15 and 207,053.54 is: 310,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,405.12 : 1,020,570.15 = 207,053.54 : x
  2. Step 2: Convert to fraction form
    680,405.12/1,020,570.15 = 207,053.54/x
  3. Step 3: Cross multiply
    680,405.12x = 1,020,570.15 × 207,053.54
  4. Step 4: Simplify right side
    680,405.12x = 211,312,662,375.83
  5. Step 5: Solve for x
    x = 211,312,662,375.83/680,405.12
  6. Step 6: Final answer
    x = 310,568.89

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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.