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Finding the Fourth Proportional to 421,198.65, 631,798.43 and 105,655.56

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Solution

The fourth proportional to 421,198.65, 631,798.43 and 105,655.56 is: 158,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,198.65 : 631,798.43 = 105,655.56 : x
  2. Step 2: Convert to fraction form
    421,198.65/631,798.43 = 105,655.56/x
  3. Step 3: Cross multiply
    421,198.65x = 631,798.43 × 105,655.56
  4. Step 4: Simplify right side
    421,198.65x = 66,753,014,031.25
  5. Step 5: Solve for x
    x = 66,753,014,031.25/421,198.65
  6. Step 6: Final answer
    x = 158,483.45

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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.