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Finding the Fourth Proportional to 289,907.04, 435,009 and 132,115.20

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Solution

The fourth proportional to 289,907.04, 435,009 and 132,115.20 is: 198,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,907.04 : 435,009 = 132,115.20 : x
  2. Step 2: Convert to fraction form
    289,907.04/435,009 = 132,115.20/x
  3. Step 3: Cross multiply
    289,907.04x = 435,009 × 132,115.20
  4. Step 4: Simplify right side
    289,907.04x = 57,471,301,036.80
  5. Step 5: Solve for x
    x = 57,471,301,036.80/289,907.04
  6. Step 6: Final answer
    x = 198,240.45

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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.