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Finding the Fourth Proportional to 311,355.87, 429,521.96 and 299,284.83

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Solution

The fourth proportional to 311,355.87, 429,521.96 and 299,284.83 is: 412,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,355.87 : 429,521.96 = 299,284.83 : x
  2. Step 2: Convert to fraction form
    311,355.87/429,521.96 = 299,284.83/x
  3. Step 3: Cross multiply
    311,355.87x = 429,521.96 × 299,284.83
  4. Step 4: Simplify right side
    311,355.87x = 128,549,405,283.44
  5. Step 5: Solve for x
    x = 128,549,405,283.44/311,355.87
  6. Step 6: Final answer
    x = 412,869.70

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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.