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Finding the Fourth Proportional to 311,925.70, 468,050.55 and 145,713.70

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Solution

The fourth proportional to 311,925.70, 468,050.55 and 145,713.70 is: 218,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,925.70 : 468,050.55 = 145,713.70 : x
  2. Step 2: Convert to fraction form
    311,925.70/468,050.55 = 145,713.70/x
  3. Step 3: Cross multiply
    311,925.70x = 468,050.55 × 145,713.70
  4. Step 4: Simplify right side
    311,925.70x = 68,201,377,427.54
  5. Step 5: Solve for x
    x = 68,201,377,427.54/311,925.70
  6. Step 6: Final answer
    x = 218,646.23

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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.