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Finding the Fourth Proportional to 435,189.12, 652,645.44 and 139,632

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Solution

The fourth proportional to 435,189.12, 652,645.44 and 139,632 is: 209,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,189.12 : 652,645.44 = 139,632 : x
  2. Step 2: Convert to fraction form
    435,189.12/652,645.44 = 139,632/x
  3. Step 3: Cross multiply
    435,189.12x = 652,645.44 × 139,632
  4. Step 4: Simplify right side
    435,189.12x = 91,130,188,078.08
  5. Step 5: Solve for x
    x = 91,130,188,078.08/435,189.12
  6. Step 6: Final answer
    x = 209,403.65

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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.