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Finding the Fourth Proportional to 289,042.68, 433,379.02 and 138,984.12

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Solution

The fourth proportional to 289,042.68, 433,379.02 and 138,984.12 is: 208,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,042.68 : 433,379.02 = 138,984.12 : x
  2. Step 2: Convert to fraction form
    289,042.68/433,379.02 = 138,984.12/x
  3. Step 3: Cross multiply
    289,042.68x = 433,379.02 × 138,984.12
  4. Step 4: Simplify right side
    289,042.68x = 60,232,801,721.16
  5. Step 5: Solve for x
    x = 60,232,801,721.16/289,042.68
  6. Step 6: Final answer
    x = 208,387.22

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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.