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Finding the Fourth Proportional to 1,092,123, 1,638,073.80 and 293,300.78

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Solution

The fourth proportional to 1,092,123, 1,638,073.80 and 293,300.78 is: 439,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,123 : 1,638,073.80 = 293,300.78 : x
  2. Step 2: Convert to fraction form
    1,092,123/1,638,073.80 = 293,300.78/x
  3. Step 3: Cross multiply
    1,092,123x = 1,638,073.80 × 293,300.78
  4. Step 4: Simplify right side
    1,092,123x = 480,448,323,237.56
  5. Step 5: Solve for x
    x = 480,448,323,237.56/1,092,123
  6. Step 6: Final answer
    x = 439,921.44

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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.