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Finding the Fourth Proportional to 642,474.70, 963,714.21 and 162,702.25

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Solution

The fourth proportional to 642,474.70, 963,714.21 and 162,702.25 is: 244,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,474.70 : 963,714.21 = 162,702.25 : x
  2. Step 2: Convert to fraction form
    642,474.70/963,714.21 = 162,702.25/x
  3. Step 3: Cross multiply
    642,474.70x = 963,714.21 × 162,702.25
  4. Step 4: Simplify right side
    642,474.70x = 156,798,470,323.97
  5. Step 5: Solve for x
    x = 156,798,470,323.97/642,474.70
  6. Step 6: Final answer
    x = 244,053.92

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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.