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Finding the Fourth Proportional to 312,421.56, 468,535.41 and 112,715.98

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Solution

The fourth proportional to 312,421.56, 468,535.41 and 112,715.98 is: 169,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.56 : 468,535.41 = 112,715.98 : x
  2. Step 2: Convert to fraction form
    312,421.56/468,535.41 = 112,715.98/x
  3. Step 3: Cross multiply
    312,421.56x = 468,535.41 × 112,715.98
  4. Step 4: Simplify right side
    312,421.56x = 52,811,427,902.85
  5. Step 5: Solve for x
    x = 52,811,427,902.85/312,421.56
  6. Step 6: Final answer
    x = 169,039.00

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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.