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Finding the Fourth Proportional to 420,846.83, 580,768.62 and 229,860.67

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Solution

The fourth proportional to 420,846.83, 580,768.62 and 229,860.67 is: 317,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,846.83 : 580,768.62 = 229,860.67 : x
  2. Step 2: Convert to fraction form
    420,846.83/580,768.62 = 229,860.67/x
  3. Step 3: Cross multiply
    420,846.83x = 580,768.62 × 229,860.67
  4. Step 4: Simplify right side
    420,846.83x = 133,495,864,108.18
  5. Step 5: Solve for x
    x = 133,495,864,108.18/420,846.83
  6. Step 6: Final answer
    x = 317,207.72

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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.