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Finding the Fourth Proportional to 435,078, 652,617 and 154,606.32

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Solution

The fourth proportional to 435,078, 652,617 and 154,606.32 is: 231,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,078 : 652,617 = 154,606.32 : x
  2. Step 2: Convert to fraction form
    435,078/652,617 = 154,606.32/x
  3. Step 3: Cross multiply
    435,078x = 652,617 × 154,606.32
  4. Step 4: Simplify right side
    435,078x = 100,898,712,739.44
  5. Step 5: Solve for x
    x = 100,898,712,739.44/435,078
  6. Step 6: Final answer
    x = 231,909.48

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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.