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Finding the Fourth Proportional to 398,858.40, 598,277.88 and 162,142.38

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Solution

The fourth proportional to 398,858.40, 598,277.88 and 162,142.38 is: 243,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,858.40 : 598,277.88 = 162,142.38 : x
  2. Step 2: Convert to fraction form
    398,858.40/598,277.88 = 162,142.38/x
  3. Step 3: Cross multiply
    398,858.40x = 598,277.88 × 162,142.38
  4. Step 4: Simplify right side
    398,858.40x = 97,006,199,364.55
  5. Step 5: Solve for x
    x = 97,006,199,364.55/398,858.40
  6. Step 6: Final answer
    x = 243,209.62

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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.