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Finding the Fourth Proportional to 680,454, 1,020,386.16 and 207,029.52

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Solution

The fourth proportional to 680,454, 1,020,386.16 and 207,029.52 is: 310,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,454 : 1,020,386.16 = 207,029.52 : x
  2. Step 2: Convert to fraction form
    680,454/1,020,386.16 = 207,029.52/x
  3. Step 3: Cross multiply
    680,454x = 1,020,386.16 × 207,029.52
  4. Step 4: Simplify right side
    680,454x = 211,250,056,919.44
  5. Step 5: Solve for x
    x = 211,250,056,919.44/680,454
  6. Step 6: Final answer
    x = 310,454.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.