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Finding the Fourth Proportional to 295,953.81, 408,415.68 and 159,987.84

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Solution

The fourth proportional to 295,953.81, 408,415.68 and 159,987.84 is: 220,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,953.81 : 408,415.68 = 159,987.84 : x
  2. Step 2: Convert to fraction form
    295,953.81/408,415.68 = 159,987.84/x
  3. Step 3: Cross multiply
    295,953.81x = 408,415.68 × 159,987.84
  4. Step 4: Simplify right side
    295,953.81x = 65,341,542,465.33
  5. Step 5: Solve for x
    x = 65,341,542,465.33/295,953.81
  6. Step 6: Final answer
    x = 220,782.91

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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.