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Finding the Fourth Proportional to 209,311.20, 313,966.80 and 201,146.40

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Solution

The fourth proportional to 209,311.20, 313,966.80 and 201,146.40 is: 301,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,311.20 : 313,966.80 = 201,146.40 : x
  2. Step 2: Convert to fraction form
    209,311.20/313,966.80 = 201,146.40/x
  3. Step 3: Cross multiply
    209,311.20x = 313,966.80 × 201,146.40
  4. Step 4: Simplify right side
    209,311.20x = 63,153,291,539.52
  5. Step 5: Solve for x
    x = 63,153,291,539.52/209,311.20
  6. Step 6: Final answer
    x = 301,719.60

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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.