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Finding the Fourth Proportional to 312,830.70, 469,246.05 and 194,732.70

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Solution

The fourth proportional to 312,830.70, 469,246.05 and 194,732.70 is: 292,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,830.70 : 469,246.05 = 194,732.70 : x
  2. Step 2: Convert to fraction form
    312,830.70/469,246.05 = 194,732.70/x
  3. Step 3: Cross multiply
    312,830.70x = 469,246.05 × 194,732.70
  4. Step 4: Simplify right side
    312,830.70x = 91,377,550,280.84
  5. Step 5: Solve for x
    x = 91,377,550,280.84/312,830.70
  6. Step 6: Final answer
    x = 292,099.05

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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.