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Finding the Fourth Proportional to 488,138.30, 732,863.55 and 311,428.70

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Solution

The fourth proportional to 488,138.30, 732,863.55 and 311,428.70 is: 467,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,138.30 : 732,863.55 = 311,428.70 : x
  2. Step 2: Convert to fraction form
    488,138.30/732,863.55 = 311,428.70/x
  3. Step 3: Cross multiply
    488,138.30x = 732,863.55 × 311,428.70
  4. Step 4: Simplify right side
    488,138.30x = 228,234,742,653.89
  5. Step 5: Solve for x
    x = 228,234,742,653.89/488,138.30
  6. Step 6: Final answer
    x = 467,561.64

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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.