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Finding the Fourth Proportional to 431,169.84, 646,597.08 and 164,798.64

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Solution

The fourth proportional to 431,169.84, 646,597.08 and 164,798.64 is: 247,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,169.84 : 646,597.08 = 164,798.64 : x
  2. Step 2: Convert to fraction form
    431,169.84/646,597.08 = 164,798.64/x
  3. Step 3: Cross multiply
    431,169.84x = 646,597.08 × 164,798.64
  4. Step 4: Simplify right side
    431,169.84x = 106,558,319,411.97
  5. Step 5: Solve for x
    x = 106,558,319,411.97/431,169.84
  6. Step 6: Final answer
    x = 247,137.69

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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.