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Finding the Fourth Proportional to 238,243, 328,773.02 and 130,812.08

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Solution

The fourth proportional to 238,243, 328,773.02 and 130,812.08 is: 180,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,243 : 328,773.02 = 130,812.08 : x
  2. Step 2: Convert to fraction form
    238,243/328,773.02 = 130,812.08/x
  3. Step 3: Cross multiply
    238,243x = 328,773.02 × 130,812.08
  4. Step 4: Simplify right side
    238,243x = 43,007,482,594.08
  5. Step 5: Solve for x
    x = 43,007,482,594.08/238,243
  6. Step 6: Final answer
    x = 180,519.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.