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Finding the Fourth Proportional to 271,813.10, 407,719.65 and 84,800.30

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Solution

The fourth proportional to 271,813.10, 407,719.65 and 84,800.30 is: 127,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813.10 : 407,719.65 = 84,800.30 : x
  2. Step 2: Convert to fraction form
    271,813.10/407,719.65 = 84,800.30/x
  3. Step 3: Cross multiply
    271,813.10x = 407,719.65 × 84,800.30
  4. Step 4: Simplify right side
    271,813.10x = 34,574,748,635.90
  5. Step 5: Solve for x
    x = 34,574,748,635.90/271,813.10
  6. Step 6: Final answer
    x = 127,200.45

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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.