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Finding the Fourth Proportional to 311,973.36, 468,009 and 134,530.80

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Solution

The fourth proportional to 311,973.36, 468,009 and 134,530.80 is: 201,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,973.36 : 468,009 = 134,530.80 : x
  2. Step 2: Convert to fraction form
    311,973.36/468,009 = 134,530.80/x
  3. Step 3: Cross multiply
    311,973.36x = 468,009 × 134,530.80
  4. Step 4: Simplify right side
    311,973.36x = 62,961,625,177.20
  5. Step 5: Solve for x
    x = 62,961,625,177.20/311,973.36
  6. Step 6: Final answer
    x = 201,817.31

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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.