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Finding the Fourth Proportional to 283,280.88, 390,994.11 and 162,420

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Solution

The fourth proportional to 283,280.88, 390,994.11 and 162,420 is: 224,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,280.88 : 390,994.11 = 162,420 : x
  2. Step 2: Convert to fraction form
    283,280.88/390,994.11 = 162,420/x
  3. Step 3: Cross multiply
    283,280.88x = 390,994.11 × 162,420
  4. Step 4: Simplify right side
    283,280.88x = 63,505,263,346.20
  5. Step 5: Solve for x
    x = 63,505,263,346.20/283,280.88
  6. Step 6: Final answer
    x = 224,177.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.