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Finding the Fourth Proportional to 430,067.31, 644,740.10 and 190,142.47

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Solution

The fourth proportional to 430,067.31, 644,740.10 and 190,142.47 is: 285,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,067.31 : 644,740.10 = 190,142.47 : x
  2. Step 2: Convert to fraction form
    430,067.31/644,740.10 = 190,142.47/x
  3. Step 3: Cross multiply
    430,067.31x = 644,740.10 × 190,142.47
  4. Step 4: Simplify right side
    430,067.31x = 122,592,475,597.40
  5. Step 5: Solve for x
    x = 122,592,475,597.40/430,067.31
  6. Step 6: Final answer
    x = 285,054.16

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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.