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Finding the Fourth Proportional to 306,317.84, 459,424.92 and 84,650

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Solution

The fourth proportional to 306,317.84, 459,424.92 and 84,650 is: 126,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,317.84 : 459,424.92 = 84,650 : x
  2. Step 2: Convert to fraction form
    306,317.84/459,424.92 = 84,650/x
  3. Step 3: Cross multiply
    306,317.84x = 459,424.92 × 84,650
  4. Step 4: Simplify right side
    306,317.84x = 38,890,319,478
  5. Step 5: Solve for x
    x = 38,890,319,478/306,317.84
  6. Step 6: Final answer
    x = 126,960.67

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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.