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Finding the Fourth Proportional to 306,006.40, 459,074.40 and 92,756.80

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Solution

The fourth proportional to 306,006.40, 459,074.40 and 92,756.80 is: 139,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,006.40 : 459,074.40 = 92,756.80 : x
  2. Step 2: Convert to fraction form
    306,006.40/459,074.40 = 92,756.80/x
  3. Step 3: Cross multiply
    306,006.40x = 459,074.40 × 92,756.80
  4. Step 4: Simplify right side
    306,006.40x = 42,582,272,305.92
  5. Step 5: Solve for x
    x = 42,582,272,305.92/306,006.40
  6. Step 6: Final answer
    x = 139,154.84

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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.