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Finding the Fourth Proportional to 289,915.40, 400,086.15 and 162,588.26

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Solution

The fourth proportional to 289,915.40, 400,086.15 and 162,588.26 is: 224,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,915.40 : 400,086.15 = 162,588.26 : x
  2. Step 2: Convert to fraction form
    289,915.40/400,086.15 = 162,588.26/x
  3. Step 3: Cross multiply
    289,915.40x = 400,086.15 × 162,588.26
  4. Step 4: Simplify right side
    289,915.40x = 65,049,310,978.60
  5. Step 5: Solve for x
    x = 65,049,310,978.60/289,915.40
  6. Step 6: Final answer
    x = 224,373.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.