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Finding the Fourth Proportional to 298,049.15, 412,390.91 and 259,888.28

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Solution

The fourth proportional to 298,049.15, 412,390.91 and 259,888.28 is: 359,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049.15 : 412,390.91 = 259,888.28 : x
  2. Step 2: Convert to fraction form
    298,049.15/412,390.91 = 259,888.28/x
  3. Step 3: Cross multiply
    298,049.15x = 412,390.91 × 259,888.28
  4. Step 4: Simplify right side
    298,049.15x = 107,175,562,875.30
  5. Step 5: Solve for x
    x = 107,175,562,875.30/298,049.15
  6. Step 6: Final answer
    x = 359,590.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.