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Finding the Fourth Proportional to 298,634.10, 447,941.55 and 98,963.70

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Solution

The fourth proportional to 298,634.10, 447,941.55 and 98,963.70 is: 148,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634.10 : 447,941.55 = 98,963.70 : x
  2. Step 2: Convert to fraction form
    298,634.10/447,941.55 = 98,963.70/x
  3. Step 3: Cross multiply
    298,634.10x = 447,941.55 × 98,963.70
  4. Step 4: Simplify right side
    298,634.10x = 44,329,953,171.74
  5. Step 5: Solve for x
    x = 44,329,953,171.74/298,634.10
  6. Step 6: Final answer
    x = 148,442.37

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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.