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Finding the Fourth Proportional to 517,727.40, 776,129.40 and 202,110.90

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Solution

The fourth proportional to 517,727.40, 776,129.40 and 202,110.90 is: 302,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,727.40 : 776,129.40 = 202,110.90 : x
  2. Step 2: Convert to fraction form
    517,727.40/776,129.40 = 202,110.90/x
  3. Step 3: Cross multiply
    517,727.40x = 776,129.40 × 202,110.90
  4. Step 4: Simplify right side
    517,727.40x = 156,864,211,550.46
  5. Step 5: Solve for x
    x = 156,864,211,550.46/517,727.40
  6. Step 6: Final answer
    x = 302,986.11

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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.