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Finding the Fourth Proportional to 430,014.25, 644,995.86 and 130,497.31

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Solution

The fourth proportional to 430,014.25, 644,995.86 and 130,497.31 is: 195,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,014.25 : 644,995.86 = 130,497.31 : x
  2. Step 2: Convert to fraction form
    430,014.25/644,995.86 = 130,497.31/x
  3. Step 3: Cross multiply
    430,014.25x = 644,995.86 × 130,497.31
  4. Step 4: Simplify right side
    430,014.25x = 84,170,224,691.14
  5. Step 5: Solve for x
    x = 84,170,224,691.14/430,014.25
  6. Step 6: Final answer
    x = 195,738.22

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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.