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Finding the Fourth Proportional to 312,821.70, 469,232.55 and 212,438.40

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Solution

The fourth proportional to 312,821.70, 469,232.55 and 212,438.40 is: 318,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,821.70 : 469,232.55 = 212,438.40 : x
  2. Step 2: Convert to fraction form
    312,821.70/469,232.55 = 212,438.40/x
  3. Step 3: Cross multiply
    312,821.70x = 469,232.55 × 212,438.40
  4. Step 4: Simplify right side
    312,821.70x = 99,683,012,149.92
  5. Step 5: Solve for x
    x = 99,683,012,149.92/312,821.70
  6. Step 6: Final answer
    x = 318,657.60

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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.