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Finding the Fourth Proportional to 328,109.60, 492,164.40 and 221,821.40

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Solution

The fourth proportional to 328,109.60, 492,164.40 and 221,821.40 is: 332,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,109.60 : 492,164.40 = 221,821.40 : x
  2. Step 2: Convert to fraction form
    328,109.60/492,164.40 = 221,821.40/x
  3. Step 3: Cross multiply
    328,109.60x = 492,164.40 × 221,821.40
  4. Step 4: Simplify right side
    328,109.60x = 109,172,596,238.16
  5. Step 5: Solve for x
    x = 109,172,596,238.16/328,109.60
  6. Step 6: Final answer
    x = 332,732.10

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1.5x scale

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.