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Finding the Fourth Proportional to 430,676.68, 646,059.21 and 164,660.93

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Solution

The fourth proportional to 430,676.68, 646,059.21 and 164,660.93 is: 247,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,676.68 : 646,059.21 = 164,660.93 : x
  2. Step 2: Convert to fraction form
    430,676.68/646,059.21 = 164,660.93/x
  3. Step 3: Cross multiply
    430,676.68x = 646,059.21 × 164,660.93
  4. Step 4: Simplify right side
    430,676.68x = 106,380,710,353.67
  5. Step 5: Solve for x
    x = 106,380,710,353.67/430,676.68
  6. Step 6: Final answer
    x = 247,008.29

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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.