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Finding the Fourth Proportional to 320,156.10, 480,216.84 and 162,380.46

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Solution

The fourth proportional to 320,156.10, 480,216.84 and 162,380.46 is: 243,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,156.10 : 480,216.84 = 162,380.46 : x
  2. Step 2: Convert to fraction form
    320,156.10/480,216.84 = 162,380.46/x
  3. Step 3: Cross multiply
    320,156.10x = 480,216.84 × 162,380.46
  4. Step 4: Simplify right side
    320,156.10x = 77,977,831,378.95
  5. Step 5: Solve for x
    x = 77,977,831,378.95/320,156.10
  6. Step 6: Final answer
    x = 243,561.91

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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.