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Finding the Fourth Proportional to 412,726.86, 618,986.34 and 159,920.46

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Solution

The fourth proportional to 412,726.86, 618,986.34 and 159,920.46 is: 239,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,726.86 : 618,986.34 = 159,920.46 : x
  2. Step 2: Convert to fraction form
    412,726.86/618,986.34 = 159,920.46/x
  3. Step 3: Cross multiply
    412,726.86x = 618,986.34 × 159,920.46
  4. Step 4: Simplify right side
    412,726.86x = 98,988,580,226.52
  5. Step 5: Solve for x
    x = 98,988,580,226.52/412,726.86
  6. Step 6: Final answer
    x = 239,840.41

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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.