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Finding the Fourth Proportional to 419,894.55, 629,407.77 and 195,071.55

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Solution

The fourth proportional to 419,894.55, 629,407.77 and 195,071.55 is: 292,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,894.55 : 629,407.77 = 195,071.55 : x
  2. Step 2: Convert to fraction form
    419,894.55/629,407.77 = 195,071.55/x
  3. Step 3: Cross multiply
    419,894.55x = 629,407.77 × 195,071.55
  4. Step 4: Simplify right side
    419,894.55x = 122,779,549,275.94
  5. Step 5: Solve for x
    x = 122,779,549,275.94/419,894.55
  6. Step 6: Final answer
    x = 292,405.67

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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.