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Finding the Fourth Proportional to 289,290.49, 434,005.02 and 120,717.05

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Solution

The fourth proportional to 289,290.49, 434,005.02 and 120,717.05 is: 181,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,290.49 : 434,005.02 = 120,717.05 : x
  2. Step 2: Convert to fraction form
    289,290.49/434,005.02 = 120,717.05/x
  3. Step 3: Cross multiply
    289,290.49x = 434,005.02 × 120,717.05
  4. Step 4: Simplify right side
    289,290.49x = 52,391,804,649.16
  5. Step 5: Solve for x
    x = 52,391,804,649.16/289,290.49
  6. Step 6: Final answer
    x = 181,104.48

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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.