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Finding the Fourth Proportional to 488,120.80, 732,837.30 and 311,411.20

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Solution

The fourth proportional to 488,120.80, 732,837.30 and 311,411.20 is: 467,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,120.80 : 732,837.30 = 311,411.20 : x
  2. Step 2: Convert to fraction form
    488,120.80/732,837.30 = 311,411.20/x
  3. Step 3: Cross multiply
    488,120.80x = 732,837.30 × 311,411.20
  4. Step 4: Simplify right side
    488,120.80x = 228,213,742,997.76
  5. Step 5: Solve for x
    x = 228,213,742,997.76/488,120.80
  6. Step 6: Final answer
    x = 467,535.38

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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.