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Finding the Fourth Proportional to 328,665.60, 492,710.40 and 223,142.40

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Solution

The fourth proportional to 328,665.60, 492,710.40 and 223,142.40 is: 334,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,665.60 : 492,710.40 = 223,142.40 : x
  2. Step 2: Convert to fraction form
    328,665.60/492,710.40 = 223,142.40/x
  3. Step 3: Cross multiply
    328,665.60x = 492,710.40 × 223,142.40
  4. Step 4: Simplify right side
    328,665.60x = 109,944,581,160.96
  5. Step 5: Solve for x
    x = 109,944,581,160.96/328,665.60
  6. Step 6: Final answer
    x = 334,518.07

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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.