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Finding the Fourth Proportional to 311,435.87, 429,658.47 and 196,671.69

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Solution

The fourth proportional to 311,435.87, 429,658.47 and 196,671.69 is: 271,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,435.87 : 429,658.47 = 196,671.69 : x
  2. Step 2: Convert to fraction form
    311,435.87/429,658.47 = 196,671.69/x
  3. Step 3: Cross multiply
    311,435.87x = 429,658.47 × 196,671.69
  4. Step 4: Simplify right side
    311,435.87x = 84,501,657,417.71
  5. Step 5: Solve for x
    x = 84,501,657,417.71/311,435.87
  6. Step 6: Final answer
    x = 271,329.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.