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Finding the Fourth Proportional to 311,906.40, 430,547.50 and 242,859.36

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Solution

The fourth proportional to 311,906.40, 430,547.50 and 242,859.36 is: 335,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.40 : 430,547.50 = 242,859.36 : x
  2. Step 2: Convert to fraction form
    311,906.40/430,547.50 = 242,859.36/x
  3. Step 3: Cross multiply
    311,906.40x = 430,547.50 × 242,859.36
  4. Step 4: Simplify right side
    311,906.40x = 104,562,492,217.73
  5. Step 5: Solve for x
    x = 104,562,492,217.73/311,906.40
  6. Step 6: Final answer
    x = 335,236.77

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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.