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Finding the Fourth Proportional to 517,438.56, 776,161.26 and 180,477.96

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Solution

The fourth proportional to 517,438.56, 776,161.26 and 180,477.96 is: 270,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,438.56 : 776,161.26 = 180,477.96 : x
  2. Step 2: Convert to fraction form
    517,438.56/776,161.26 = 180,477.96/x
  3. Step 3: Cross multiply
    517,438.56x = 776,161.26 × 180,477.96
  4. Step 4: Simplify right side
    517,438.56x = 140,080,000,835.83
  5. Step 5: Solve for x
    x = 140,080,000,835.83/517,438.56
  6. Step 6: Final answer
    x = 270,718.13

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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.