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Finding the Fourth Proportional to 421,312.69, 631,418.64 and 193,525.71

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Solution

The fourth proportional to 421,312.69, 631,418.64 and 193,525.71 is: 290,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,312.69 : 631,418.64 = 193,525.71 : x
  2. Step 2: Convert to fraction form
    421,312.69/631,418.64 = 193,525.71/x
  3. Step 3: Cross multiply
    421,312.69x = 631,418.64 × 193,525.71
  4. Step 4: Simplify right side
    421,312.69x = 122,195,738,608.28
  5. Step 5: Solve for x
    x = 122,195,738,608.28/421,312.69
  6. Step 6: Final answer
    x = 290,035.74

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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.