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Finding the Fourth Proportional to 412,201, 618,389.70 and 127,885.42

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Solution

The fourth proportional to 412,201, 618,389.70 and 127,885.42 is: 191,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,201 : 618,389.70 = 127,885.42 : x
  2. Step 2: Convert to fraction form
    412,201/618,389.70 = 127,885.42/x
  3. Step 3: Cross multiply
    412,201x = 618,389.70 × 127,885.42
  4. Step 4: Simplify right side
    412,201x = 79,083,026,508.17
  5. Step 5: Solve for x
    x = 79,083,026,508.17/412,201
  6. Step 6: Final answer
    x = 191,855.49

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1.5x scale

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.