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Finding the Fourth Proportional to 456,069.60, 684,042.30 and 119,136.60

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Solution

The fourth proportional to 456,069.60, 684,042.30 and 119,136.60 is: 178,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,069.60 : 684,042.30 = 119,136.60 : x
  2. Step 2: Convert to fraction form
    456,069.60/684,042.30 = 119,136.60/x
  3. Step 3: Cross multiply
    456,069.60x = 684,042.30 × 119,136.60
  4. Step 4: Simplify right side
    456,069.60x = 81,494,473,878.18
  5. Step 5: Solve for x
    x = 81,494,473,878.18/456,069.60
  6. Step 6: Final answer
    x = 178,688.68

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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.