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Finding the Fourth Proportional to 289,857.30, 434,267.55 and 245,274.90

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Solution

The fourth proportional to 289,857.30, 434,267.55 and 245,274.90 is: 367,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,857.30 : 434,267.55 = 245,274.90 : x
  2. Step 2: Convert to fraction form
    289,857.30/434,267.55 = 245,274.90/x
  3. Step 3: Cross multiply
    289,857.30x = 434,267.55 × 245,274.90
  4. Step 4: Simplify right side
    289,857.30x = 106,514,929,899.50
  5. Step 5: Solve for x
    x = 106,514,929,899.50/289,857.30
  6. Step 6: Final answer
    x = 367,473.68

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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.