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Finding the Fourth Proportional to 289,946.40, 435,794.40 and 251,455.20

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Solution

The fourth proportional to 289,946.40, 435,794.40 and 251,455.20 is: 377,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,946.40 : 435,794.40 = 251,455.20 : x
  2. Step 2: Convert to fraction form
    289,946.40/435,794.40 = 251,455.20/x
  3. Step 3: Cross multiply
    289,946.40x = 435,794.40 × 251,455.20
  4. Step 4: Simplify right side
    289,946.40x = 109,582,768,010.88
  5. Step 5: Solve for x
    x = 109,582,768,010.88/289,946.40
  6. Step 6: Final answer
    x = 377,941.47

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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.