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Finding the Fourth Proportional to 289,298.93, 434,017.68 and 120,725.47

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Solution

The fourth proportional to 289,298.93, 434,017.68 and 120,725.47 is: 181,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,298.93 : 434,017.68 = 120,725.47 : x
  2. Step 2: Convert to fraction form
    289,298.93/434,017.68 = 120,725.47/x
  3. Step 3: Cross multiply
    289,298.93x = 434,017.68 × 120,725.47
  4. Step 4: Simplify right side
    289,298.93x = 52,396,988,496.11
  5. Step 5: Solve for x
    x = 52,396,988,496.11/289,298.93
  6. Step 6: Final answer
    x = 181,117.12

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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.