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Finding the Fourth Proportional to 517,151.16, 775,480.18 and 180,150.36

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Solution

The fourth proportional to 517,151.16, 775,480.18 and 180,150.36 is: 270,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,151.16 : 775,480.18 = 180,150.36 : x
  2. Step 2: Convert to fraction form
    517,151.16/775,480.18 = 180,150.36/x
  3. Step 3: Cross multiply
    517,151.16x = 775,480.18 × 180,150.36
  4. Step 4: Simplify right side
    517,151.16x = 139,703,033,599.87
  5. Step 5: Solve for x
    x = 139,703,033,599.87/517,151.16
  6. Step 6: Final answer
    x = 270,139.65

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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.