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Finding the Fourth Proportional to 313,486.85, 469,908.57 and 123,870.44

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Solution

The fourth proportional to 313,486.85, 469,908.57 and 123,870.44 is: 185,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,486.85 : 469,908.57 = 123,870.44 : x
  2. Step 2: Convert to fraction form
    313,486.85/469,908.57 = 123,870.44/x
  3. Step 3: Cross multiply
    313,486.85x = 469,908.57 × 123,870.44
  4. Step 4: Simplify right side
    313,486.85x = 58,207,781,325.67
  5. Step 5: Solve for x
    x = 58,207,781,325.67/313,486.85
  6. Step 6: Final answer
    x = 185,678.54

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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.