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Finding the Fourth Proportional to 286,311.40, 429,467.10 and 202,330.60

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Solution

The fourth proportional to 286,311.40, 429,467.10 and 202,330.60 is: 303,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,311.40 : 429,467.10 = 202,330.60 : x
  2. Step 2: Convert to fraction form
    286,311.40/429,467.10 = 202,330.60/x
  3. Step 3: Cross multiply
    286,311.40x = 429,467.10 × 202,330.60
  4. Step 4: Simplify right side
    286,311.40x = 86,894,336,023.26
  5. Step 5: Solve for x
    x = 86,894,336,023.26/286,311.40
  6. Step 6: Final answer
    x = 303,495.90

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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.