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Finding the Fourth Proportional to 686,266.80, 1,029,804.60 and 286,876.80

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Solution

The fourth proportional to 686,266.80, 1,029,804.60 and 286,876.80 is: 430,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,266.80 : 1,029,804.60 = 286,876.80 : x
  2. Step 2: Convert to fraction form
    686,266.80/1,029,804.60 = 286,876.80/x
  3. Step 3: Cross multiply
    686,266.80x = 1,029,804.60 × 286,876.80
  4. Step 4: Simplify right side
    686,266.80x = 295,427,048,273.28
  5. Step 5: Solve for x
    x = 295,427,048,273.28/686,266.80
  6. Step 6: Final answer
    x = 430,484.25

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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.