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Finding the Fourth Proportional to 299,211.40, 448,817.10 and 287,401.60

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Solution

The fourth proportional to 299,211.40, 448,817.10 and 287,401.60 is: 431,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211.40 : 448,817.10 = 287,401.60 : x
  2. Step 2: Convert to fraction form
    299,211.40/448,817.10 = 287,401.60/x
  3. Step 3: Cross multiply
    299,211.40x = 448,817.10 × 287,401.60
  4. Step 4: Simplify right side
    299,211.40x = 128,990,752,647.36
  5. Step 5: Solve for x
    x = 128,990,752,647.36/299,211.40
  6. Step 6: Final answer
    x = 431,102.40

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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.