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Finding the Fourth Proportional to 311,362.62, 429,531.27 and 299,291.58

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Solution

The fourth proportional to 311,362.62, 429,531.27 and 299,291.58 is: 412,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,362.62 : 429,531.27 = 299,291.58 : x
  2. Step 2: Convert to fraction form
    311,362.62/429,531.27 = 299,291.58/x
  3. Step 3: Cross multiply
    311,362.62x = 429,531.27 × 299,291.58
  4. Step 4: Simplify right side
    311,362.62x = 128,555,092,457.71
  5. Step 5: Solve for x
    x = 128,555,092,457.71/311,362.62
  6. Step 6: Final answer
    x = 412,879.02

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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.