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Finding the Fourth Proportional to 306,116.40, 459,239.40 and 92,866.80

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Solution

The fourth proportional to 306,116.40, 459,239.40 and 92,866.80 is: 139,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,116.40 : 459,239.40 = 92,866.80 : x
  2. Step 2: Convert to fraction form
    306,116.40/459,239.40 = 92,866.80/x
  3. Step 3: Cross multiply
    306,116.40x = 459,239.40 × 92,866.80
  4. Step 4: Simplify right side
    306,116.40x = 42,648,093,511.92
  5. Step 5: Solve for x
    x = 42,648,093,511.92/306,116.40
  6. Step 6: Final answer
    x = 139,319.86

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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.