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Finding the Fourth Proportional to 431,399.40, 646,552.35 and 164,804.10

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Solution

The fourth proportional to 431,399.40, 646,552.35 and 164,804.10 is: 246,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,399.40 : 646,552.35 = 164,804.10 : x
  2. Step 2: Convert to fraction form
    431,399.40/646,552.35 = 164,804.10/x
  3. Step 3: Cross multiply
    431,399.40x = 646,552.35 × 164,804.10
  4. Step 4: Simplify right side
    431,399.40x = 106,554,478,144.64
  5. Step 5: Solve for x
    x = 106,554,478,144.64/431,399.40
  6. Step 6: Final answer
    x = 246,997.28

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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.