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Finding the Fourth Proportional to 488,337.80, 732,506.70 and 311,628.20

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Solution

The fourth proportional to 488,337.80, 732,506.70 and 311,628.20 is: 467,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,337.80 : 732,506.70 = 311,628.20 : x
  2. Step 2: Convert to fraction form
    488,337.80/732,506.70 = 311,628.20/x
  3. Step 3: Cross multiply
    488,337.80x = 732,506.70 × 311,628.20
  4. Step 4: Simplify right side
    488,337.80x = 228,269,744,408.94
  5. Step 5: Solve for x
    x = 228,269,744,408.94/488,337.80
  6. Step 6: Final answer
    x = 467,442.30

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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.