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Finding the Fourth Proportional to 289,299.62, 434,018.69 and 120,726.16

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Solution

The fourth proportional to 289,299.62, 434,018.69 and 120,726.16 is: 181,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,299.62 : 434,018.69 = 120,726.16 : x
  2. Step 2: Convert to fraction form
    289,299.62/434,018.69 = 120,726.16/x
  3. Step 3: Cross multiply
    289,299.62x = 434,018.69 × 120,726.16
  4. Step 4: Simplify right side
    289,299.62x = 52,397,407,340.02
  5. Step 5: Solve for x
    x = 52,397,407,340.02/289,299.62
  6. Step 6: Final answer
    x = 181,118.13

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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.