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Finding the Fourth Proportional to 427,225.70, 640,978.84 and 174,718.55

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Solution

The fourth proportional to 427,225.70, 640,978.84 and 174,718.55 is: 262,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,225.70 : 640,978.84 = 174,718.55 : x
  2. Step 2: Convert to fraction form
    427,225.70/640,978.84 = 174,718.55/x
  3. Step 3: Cross multiply
    427,225.70x = 640,978.84 × 174,718.55
  4. Step 4: Simplify right side
    427,225.70x = 111,990,889,536.19
  5. Step 5: Solve for x
    x = 111,990,889,536.19/427,225.70
  6. Step 6: Final answer
    x = 262,135.19

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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.