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Finding the Fourth Proportional to 488,706.40, 733,715.70 and 311,559.40

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Solution

The fourth proportional to 488,706.40, 733,715.70 and 311,559.40 is: 467,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,706.40 : 733,715.70 = 311,559.40 : x
  2. Step 2: Convert to fraction form
    488,706.40/733,715.70 = 311,559.40/x
  3. Step 3: Cross multiply
    488,706.40x = 733,715.70 × 311,559.40
  4. Step 4: Simplify right side
    488,706.40x = 228,596,023,262.58
  5. Step 5: Solve for x
    x = 228,596,023,262.58/488,706.40
  6. Step 6: Final answer
    x = 467,757.38

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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.