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Finding the Fourth Proportional to 517,149.16, 775,477.18 and 180,148.36

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Solution

The fourth proportional to 517,149.16, 775,477.18 and 180,148.36 is: 270,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,149.16 : 775,477.18 = 180,148.36 : x
  2. Step 2: Convert to fraction form
    517,149.16/775,477.18 = 180,148.36/x
  3. Step 3: Cross multiply
    517,149.16x = 775,477.18 × 180,148.36
  4. Step 4: Simplify right side
    517,149.16x = 139,700,942,194.43
  5. Step 5: Solve for x
    x = 139,700,942,194.43/517,149.16
  6. Step 6: Final answer
    x = 270,136.65

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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.