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Finding the Fourth Proportional to 647,379.84, 969,788.16 and 305,354.88

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Solution

The fourth proportional to 647,379.84, 969,788.16 and 305,354.88 is: 457,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,379.84 : 969,788.16 = 305,354.88 : x
  2. Step 2: Convert to fraction form
    647,379.84/969,788.16 = 305,354.88/x
  3. Step 3: Cross multiply
    647,379.84x = 969,788.16 × 305,354.88
  4. Step 4: Simplify right side
    647,379.84x = 296,129,547,222.22
  5. Step 5: Solve for x
    x = 296,129,547,222.22/647,379.84
  6. Step 6: Final answer
    x = 457,427.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.