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Finding the Fourth Proportional to 488,313.28, 732,703.20 and 311,020.48

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Solution

The fourth proportional to 488,313.28, 732,703.20 and 311,020.48 is: 466,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,313.28 : 732,703.20 = 311,020.48 : x
  2. Step 2: Convert to fraction form
    488,313.28/732,703.20 = 311,020.48/x
  3. Step 3: Cross multiply
    488,313.28x = 732,703.20 × 311,020.48
  4. Step 4: Simplify right side
    488,313.28x = 227,885,700,961.54
  5. Step 5: Solve for x
    x = 227,885,700,961.54/488,313.28
  6. Step 6: Final answer
    x = 466,679.30

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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.