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Finding the Fourth Proportional to 653,467.80, 979,821.14 and 253,641.49

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Solution

The fourth proportional to 653,467.80, 979,821.14 and 253,641.49 is: 380,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,467.80 : 979,821.14 = 253,641.49 : x
  2. Step 2: Convert to fraction form
    653,467.80/979,821.14 = 253,641.49/x
  3. Step 3: Cross multiply
    653,467.80x = 979,821.14 × 253,641.49
  4. Step 4: Simplify right side
    653,467.80x = 248,523,293,883.10
  5. Step 5: Solve for x
    x = 248,523,293,883.10/653,467.80
  6. Step 6: Final answer
    x = 380,314.52

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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.