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Finding the Fourth Proportional to 290,423.70, 435,648.35 and 164,062.10

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Solution

The fourth proportional to 290,423.70, 435,648.35 and 164,062.10 is: 246,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,423.70 : 435,648.35 = 164,062.10 : x
  2. Step 2: Convert to fraction form
    290,423.70/435,648.35 = 164,062.10/x
  3. Step 3: Cross multiply
    290,423.70x = 435,648.35 × 164,062.10
  4. Step 4: Simplify right side
    290,423.70x = 71,473,383,162.54
  5. Step 5: Solve for x
    x = 71,473,383,162.54/290,423.70
  6. Step 6: Final answer
    x = 246,100.38

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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.