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Finding the Fourth Proportional to 280,150.44, 420,031.26 and 102,633

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Solution

The fourth proportional to 280,150.44, 420,031.26 and 102,633 is: 153,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,150.44 : 420,031.26 = 102,633 : x
  2. Step 2: Convert to fraction form
    280,150.44/420,031.26 = 102,633/x
  3. Step 3: Cross multiply
    280,150.44x = 420,031.26 × 102,633
  4. Step 4: Simplify right side
    280,150.44x = 43,109,068,307.58
  5. Step 5: Solve for x
    x = 43,109,068,307.58/280,150.44
  6. Step 6: Final answer
    x = 153,878.28

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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.