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Finding the Fourth Proportional to 412,288.76, 618,521.34 and 127,973.10

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Solution

The fourth proportional to 412,288.76, 618,521.34 and 127,973.10 is: 191,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,288.76 : 618,521.34 = 127,973.10 : x
  2. Step 2: Convert to fraction form
    412,288.76/618,521.34 = 127,973.10/x
  3. Step 3: Cross multiply
    412,288.76x = 618,521.34 × 127,973.10
  4. Step 4: Simplify right side
    412,288.76x = 79,154,093,295.95
  5. Step 5: Solve for x
    x = 79,154,093,295.95/412,288.76
  6. Step 6: Final answer
    x = 191,987.03

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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.