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Finding the Fourth Proportional to 312,071.70, 468,107.55 and 289,953.30

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Solution

The fourth proportional to 312,071.70, 468,107.55 and 289,953.30 is: 434,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,071.70 : 468,107.55 = 289,953.30 : x
  2. Step 2: Convert to fraction form
    312,071.70/468,107.55 = 289,953.30/x
  3. Step 3: Cross multiply
    312,071.70x = 468,107.55 × 289,953.30
  4. Step 4: Simplify right side
    312,071.70x = 135,729,328,877.42
  5. Step 5: Solve for x
    x = 135,729,328,877.42/312,071.70
  6. Step 6: Final answer
    x = 434,929.95

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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.