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Finding the Fourth Proportional to 430,673.12, 646,052.70 and 164,657.42

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Solution

The fourth proportional to 430,673.12, 646,052.70 and 164,657.42 is: 247,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,673.12 : 646,052.70 = 164,657.42 : x
  2. Step 2: Convert to fraction form
    430,673.12/646,052.70 = 164,657.42/x
  3. Step 3: Cross multiply
    430,673.12x = 646,052.70 × 164,657.42
  4. Step 4: Simplify right side
    430,673.12x = 106,377,370,766.03
  5. Step 5: Solve for x
    x = 106,377,370,766.03/430,673.12
  6. Step 6: Final answer
    x = 247,002.58

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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.