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Finding the Fourth Proportional to 402,507.40, 603,837.64 and 136,196.41

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Solution

The fourth proportional to 402,507.40, 603,837.64 and 136,196.41 is: 204,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,507.40 : 603,837.64 = 136,196.41 : x
  2. Step 2: Convert to fraction form
    402,507.40/603,837.64 = 136,196.41/x
  3. Step 3: Cross multiply
    402,507.40x = 603,837.64 × 136,196.41
  4. Step 4: Simplify right side
    402,507.40x = 82,240,517,281.28
  5. Step 5: Solve for x
    x = 82,240,517,281.28/402,507.40
  6. Step 6: Final answer
    x = 204,320.51

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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.