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Finding the Fourth Proportional to 290,459.20, 435,701.60 and 164,097.60

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Solution

The fourth proportional to 290,459.20, 435,701.60 and 164,097.60 is: 246,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,459.20 : 435,701.60 = 164,097.60 : x
  2. Step 2: Convert to fraction form
    290,459.20/435,701.60 = 164,097.60/x
  3. Step 3: Cross multiply
    290,459.20x = 435,701.60 × 164,097.60
  4. Step 4: Simplify right side
    290,459.20x = 71,497,586,876.16
  5. Step 5: Solve for x
    x = 71,497,586,876.16/290,459.20
  6. Step 6: Final answer
    x = 246,153.63

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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.