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Finding the Fourth Proportional to 431,028.74, 646,572.27 and 164,817.38

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Solution

The fourth proportional to 431,028.74, 646,572.27 and 164,817.38 is: 247,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,028.74 : 646,572.27 = 164,817.38 : x
  2. Step 2: Convert to fraction form
    431,028.74/646,572.27 = 164,817.38/x
  3. Step 3: Cross multiply
    431,028.74x = 646,572.27 × 164,817.38
  4. Step 4: Simplify right side
    431,028.74x = 106,566,349,756.55
  5. Step 5: Solve for x
    x = 106,566,349,756.55/431,028.74
  6. Step 6: Final answer
    x = 247,237.22

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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.