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Finding the Fourth Proportional to 289,476.90, 434,216.40 and 204,981.48

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Solution

The fourth proportional to 289,476.90, 434,216.40 and 204,981.48 is: 307,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,476.90 : 434,216.40 = 204,981.48 : x
  2. Step 2: Convert to fraction form
    289,476.90/434,216.40 = 204,981.48/x
  3. Step 3: Cross multiply
    289,476.90x = 434,216.40 × 204,981.48
  4. Step 4: Simplify right side
    289,476.90x = 89,006,319,543.59
  5. Step 5: Solve for x
    x = 89,006,319,543.59/289,476.90
  6. Step 6: Final answer
    x = 307,472.96

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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.