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Finding the Fourth Proportional to 427,018.05, 640,726.34 and 190,336.05

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Solution

The fourth proportional to 427,018.05, 640,726.34 and 190,336.05 is: 285,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,018.05 : 640,726.34 = 190,336.05 : x
  2. Step 2: Convert to fraction form
    427,018.05/640,726.34 = 190,336.05/x
  3. Step 3: Cross multiply
    427,018.05x = 640,726.34 × 190,336.05
  4. Step 4: Simplify right side
    427,018.05x = 121,953,319,734.88
  5. Step 5: Solve for x
    x = 121,953,319,734.88/427,018.05
  6. Step 6: Final answer
    x = 285,592.89

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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.