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Finding the Fourth Proportional to 298,702.83, 448,137.28 and 130,237.88

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Solution

The fourth proportional to 298,702.83, 448,137.28 and 130,237.88 is: 195,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,702.83 : 448,137.28 = 130,237.88 : x
  2. Step 2: Convert to fraction form
    298,702.83/448,137.28 = 130,237.88/x
  3. Step 3: Cross multiply
    298,702.83x = 448,137.28 × 130,237.88
  4. Step 4: Simplify right side
    298,702.83x = 58,364,449,296.17
  5. Step 5: Solve for x
    x = 58,364,449,296.17/298,702.83
  6. Step 6: Final answer
    x = 195,393.02

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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.