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Finding the Fourth Proportional to 313,910.84, 467,909.12 and 288,716.60

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Solution

The fourth proportional to 313,910.84, 467,909.12 and 288,716.60 is: 430,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,910.84 : 467,909.12 = 288,716.60 : x
  2. Step 2: Convert to fraction form
    313,910.84/467,909.12 = 288,716.60/x
  3. Step 3: Cross multiply
    313,910.84x = 467,909.12 × 288,716.60
  4. Step 4: Simplify right side
    313,910.84x = 135,093,130,235.39
  5. Step 5: Solve for x
    x = 135,093,130,235.39/313,910.84
  6. Step 6: Final answer
    x = 430,355.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.