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Finding the Fourth Proportional to 902,789, 1,245,849 and 500,381

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Solution

The fourth proportional to 902,789, 1,245,849 and 500,381 is: 690,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,789 : 1,245,849 = 500,381 : x
  2. Step 2: Convert to fraction form
    902,789/1,245,849 = 500,381/x
  3. Step 3: Cross multiply
    902,789x = 1,245,849 × 500,381
  4. Step 4: Simplify right side
    902,789x = 623,399,168,469
  5. Step 5: Solve for x
    x = 623,399,168,469/902,789
  6. Step 6: Final answer
    x = 690,525.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.