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Finding the Fourth Proportional to 289,702.10, 434,553.15 and 264,818.90

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Solution

The fourth proportional to 289,702.10, 434,553.15 and 264,818.90 is: 397,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,702.10 : 434,553.15 = 264,818.90 : x
  2. Step 2: Convert to fraction form
    289,702.10/434,553.15 = 264,818.90/x
  3. Step 3: Cross multiply
    289,702.10x = 434,553.15 × 264,818.90
  4. Step 4: Simplify right side
    289,702.10x = 115,077,887,174.54
  5. Step 5: Solve for x
    x = 115,077,887,174.54/289,702.10
  6. Step 6: Final answer
    x = 397,228.35

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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.