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Finding the Fourth Proportional to 289,890.72, 434,006.64 and 196,228.80

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Solution

The fourth proportional to 289,890.72, 434,006.64 and 196,228.80 is: 293,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,890.72 : 434,006.64 = 196,228.80 : x
  2. Step 2: Convert to fraction form
    289,890.72/434,006.64 = 196,228.80/x
  3. Step 3: Cross multiply
    289,890.72x = 434,006.64 × 196,228.80
  4. Step 4: Simplify right side
    289,890.72x = 85,164,602,159.23
  5. Step 5: Solve for x
    x = 85,164,602,159.23/289,890.72
  6. Step 6: Final answer
    x = 293,781.75

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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.