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Finding the Fourth Proportional to 398,898.60, 598,460.46 and 162,411

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Solution

The fourth proportional to 398,898.60, 598,460.46 and 162,411 is: 243,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,898.60 : 598,460.46 = 162,411 : x
  2. Step 2: Convert to fraction form
    398,898.60/598,460.46 = 162,411/x
  3. Step 3: Cross multiply
    398,898.60x = 598,460.46 × 162,411
  4. Step 4: Simplify right side
    398,898.60x = 97,196,561,769.06
  5. Step 5: Solve for x
    x = 97,196,561,769.06/398,898.60
  6. Step 6: Final answer
    x = 243,662.33

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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.