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Finding the Fourth Proportional to 289,300.61, 434,020.21 and 120,727.17

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Solution

The fourth proportional to 289,300.61, 434,020.21 and 120,727.17 is: 181,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,300.61 : 434,020.21 = 120,727.17 : x
  2. Step 2: Convert to fraction form
    289,300.61/434,020.21 = 120,727.17/x
  3. Step 3: Cross multiply
    289,300.61x = 434,020.21 × 120,727.17
  4. Step 4: Simplify right side
    289,300.61x = 52,398,031,374.29
  5. Step 5: Solve for x
    x = 52,398,031,374.29/289,300.61
  6. Step 6: Final answer
    x = 181,119.67

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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.