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Finding the Fourth Proportional to 509,136.60, 763,607.70 and 154,162.20

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Solution

The fourth proportional to 509,136.60, 763,607.70 and 154,162.20 is: 231,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,136.60 : 763,607.70 = 154,162.20 : x
  2. Step 2: Convert to fraction form
    509,136.60/763,607.70 = 154,162.20/x
  3. Step 3: Cross multiply
    509,136.60x = 763,607.70 × 154,162.20
  4. Step 4: Simplify right side
    509,136.60x = 117,719,442,968.94
  5. Step 5: Solve for x
    x = 117,719,442,968.94/509,136.60
  6. Step 6: Final answer
    x = 231,213.87

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1.5x scale

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.