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Finding the Fourth Proportional to 328,112.10, 492,209.18 and 128,406.68

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Solution

The fourth proportional to 328,112.10, 492,209.18 and 128,406.68 is: 192,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,112.10 : 492,209.18 = 128,406.68 : x
  2. Step 2: Convert to fraction form
    328,112.10/492,209.18 = 128,406.68/x
  3. Step 3: Cross multiply
    328,112.10x = 492,209.18 × 128,406.68
  4. Step 4: Simplify right side
    328,112.10x = 63,202,946,669.32
  5. Step 5: Solve for x
    x = 63,202,946,669.32/328,112.10
  6. Step 6: Final answer
    x = 192,626.08

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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.