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Finding the Fourth Proportional to 488,139.30, 732,865.05 and 311,429.70

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Solution

The fourth proportional to 488,139.30, 732,865.05 and 311,429.70 is: 467,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,139.30 : 732,865.05 = 311,429.70 : x
  2. Step 2: Convert to fraction form
    488,139.30/732,865.05 = 311,429.70/x
  3. Step 3: Cross multiply
    488,139.30x = 732,865.05 × 311,429.70
  4. Step 4: Simplify right side
    488,139.30x = 228,235,942,661.99
  5. Step 5: Solve for x
    x = 228,235,942,661.99/488,139.30
  6. Step 6: Final answer
    x = 467,563.14

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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.