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Finding the Fourth Proportional to 478,683.76, 718,033.14 and 141,758.64

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Solution

The fourth proportional to 478,683.76, 718,033.14 and 141,758.64 is: 212,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,683.76 : 718,033.14 = 141,758.64 : x
  2. Step 2: Convert to fraction form
    478,683.76/718,033.14 = 141,758.64/x
  3. Step 3: Cross multiply
    478,683.76x = 718,033.14 × 141,758.64
  4. Step 4: Simplify right side
    478,683.76x = 101,787,401,401.33
  5. Step 5: Solve for x
    x = 101,787,401,401.33/478,683.76
  6. Step 6: Final answer
    x = 212,640.18

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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.