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Finding the Fourth Proportional to 517,148.16, 775,475.68 and 180,147.36

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Solution

The fourth proportional to 517,148.16, 775,475.68 and 180,147.36 is: 270,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,148.16 : 775,475.68 = 180,147.36 : x
  2. Step 2: Convert to fraction form
    517,148.16/775,475.68 = 180,147.36/x
  3. Step 3: Cross multiply
    517,148.16x = 775,475.68 × 180,147.36
  4. Step 4: Simplify right side
    517,148.16x = 139,699,896,496.21
  5. Step 5: Solve for x
    x = 139,699,896,496.21/517,148.16
  6. Step 6: Final answer
    x = 270,135.15

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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.