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Finding the Fourth Proportional to 271,303.30, 406,948.55 and 74,311.30

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Solution

The fourth proportional to 271,303.30, 406,948.55 and 74,311.30 is: 111,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,303.30 : 406,948.55 = 74,311.30 : x
  2. Step 2: Convert to fraction form
    271,303.30/406,948.55 = 74,311.30/x
  3. Step 3: Cross multiply
    271,303.30x = 406,948.55 × 74,311.30
  4. Step 4: Simplify right side
    271,303.30x = 30,240,875,783.62
  5. Step 5: Solve for x
    x = 30,240,875,783.62/271,303.30
  6. Step 6: Final answer
    x = 111,465.20

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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.