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Finding the Fourth Proportional to 238,318.40, 328,858.80 and 136,323.20

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Solution

The fourth proportional to 238,318.40, 328,858.80 and 136,323.20 is: 188,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,318.40 : 328,858.80 = 136,323.20 : x
  2. Step 2: Convert to fraction form
    238,318.40/328,858.80 = 136,323.20/x
  3. Step 3: Cross multiply
    238,318.40x = 328,858.80 × 136,323.20
  4. Step 4: Simplify right side
    238,318.40x = 44,831,083,964.16
  5. Step 5: Solve for x
    x = 44,831,083,964.16/238,318.40
  6. Step 6: Final answer
    x = 188,114.24

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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.