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Finding the Fourth Proportional to 430,924.31, 646,430.60 and 164,908.56

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Solution

The fourth proportional to 430,924.31, 646,430.60 and 164,908.56 is: 247,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,924.31 : 646,430.60 = 164,908.56 : x
  2. Step 2: Convert to fraction form
    430,924.31/646,430.60 = 164,908.56/x
  3. Step 3: Cross multiply
    430,924.31x = 646,430.60 × 164,908.56
  4. Step 4: Simplify right side
    430,924.31x = 106,601,939,385.94
  5. Step 5: Solve for x
    x = 106,601,939,385.94/430,924.31
  6. Step 6: Final answer
    x = 247,379.73

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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.