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Finding the Fourth Proportional to 306,315.84, 459,421.92 and 84,648

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Solution

The fourth proportional to 306,315.84, 459,421.92 and 84,648 is: 126,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,315.84 : 459,421.92 = 84,648 : x
  2. Step 2: Convert to fraction form
    306,315.84/459,421.92 = 84,648/x
  3. Step 3: Cross multiply
    306,315.84x = 459,421.92 × 84,648
  4. Step 4: Simplify right side
    306,315.84x = 38,889,146,684.16
  5. Step 5: Solve for x
    x = 38,889,146,684.16/306,315.84
  6. Step 6: Final answer
    x = 126,957.67

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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.