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Finding the Fourth Proportional to 1,298,743.29, 1,948,114.94 and 786,511.69

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Solution

The fourth proportional to 1,298,743.29, 1,948,114.94 and 786,511.69 is: 1,179,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,743.29 : 1,948,114.94 = 786,511.69 : x
  2. Step 2: Convert to fraction form
    1,298,743.29/1,948,114.94 = 786,511.69/x
  3. Step 3: Cross multiply
    1,298,743.29x = 1,948,114.94 × 786,511.69
  4. Step 4: Simplify right side
    1,298,743.29x = 1,532,215,164,970.80
  5. Step 5: Solve for x
    x = 1,532,215,164,970.80/1,298,743.29
  6. Step 6: Final answer
    x = 1,179,767.53

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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.