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Finding the Fourth Proportional to 311,896.42, 467,775.68 and 87,196.45

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Solution

The fourth proportional to 311,896.42, 467,775.68 and 87,196.45 is: 130,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,896.42 : 467,775.68 = 87,196.45 : x
  2. Step 2: Convert to fraction form
    311,896.42/467,775.68 = 87,196.45/x
  3. Step 3: Cross multiply
    311,896.42x = 467,775.68 × 87,196.45
  4. Step 4: Simplify right side
    311,896.42x = 40,788,378,699.71
  5. Step 5: Solve for x
    x = 40,788,378,699.71/311,896.42
  6. Step 6: Final answer
    x = 130,775.40

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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.