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Finding the Fourth Proportional to 903,770, 1,355,655 and 312,794

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Solution

The fourth proportional to 903,770, 1,355,655 and 312,794 is: 469,191

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,770 : 1,355,655 = 312,794 : x
  2. Step 2: Convert to fraction form
    903,770/1,355,655 = 312,794/x
  3. Step 3: Cross multiply
    903,770x = 1,355,655 × 312,794
  4. Step 4: Simplify right side
    903,770x = 424,040,750,070
  5. Step 5: Solve for x
    x = 424,040,750,070/903,770
  6. Step 6: Final answer
    x = 469,191

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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.