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Finding the Fourth Proportional to 430,705.44, 646,007.28 and 115,186.80

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Solution

The fourth proportional to 430,705.44, 646,007.28 and 115,186.80 is: 172,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,705.44 : 646,007.28 = 115,186.80 : x
  2. Step 2: Convert to fraction form
    430,705.44/646,007.28 = 115,186.80/x
  3. Step 3: Cross multiply
    430,705.44x = 646,007.28 × 115,186.80
  4. Step 4: Simplify right side
    430,705.44x = 74,411,511,359.90
  5. Step 5: Solve for x
    x = 74,411,511,359.90/430,705.44
  6. Step 6: Final answer
    x = 172,766.59

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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.