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Finding the Fourth Proportional to 517,717.40, 776,114.40 and 202,100.90

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Solution

The fourth proportional to 517,717.40, 776,114.40 and 202,100.90 is: 302,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,717.40 : 776,114.40 = 202,100.90 : x
  2. Step 2: Convert to fraction form
    517,717.40/776,114.40 = 202,100.90/x
  3. Step 3: Cross multiply
    517,717.40x = 776,114.40 × 202,100.90
  4. Step 4: Simplify right side
    517,717.40x = 156,853,418,742.96
  5. Step 5: Solve for x
    x = 156,853,418,742.96/517,717.40
  6. Step 6: Final answer
    x = 302,971.12

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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.