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Finding the Fourth Proportional to 309,556.16, 464,308.32 and 219,225.28

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Solution

The fourth proportional to 309,556.16, 464,308.32 and 219,225.28 is: 328,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,556.16 : 464,308.32 = 219,225.28 : x
  2. Step 2: Convert to fraction form
    309,556.16/464,308.32 = 219,225.28/x
  3. Step 3: Cross multiply
    309,556.16x = 464,308.32 × 219,225.28
  4. Step 4: Simplify right side
    309,556.16x = 101,788,121,458.33
  5. Step 5: Solve for x
    x = 101,788,121,458.33/309,556.16
  6. Step 6: Final answer
    x = 328,819.56

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1.5x scale

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.