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Finding the Fourth Proportional to 518,172.42, 777,258.63 and 202,407.90

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Solution

The fourth proportional to 518,172.42, 777,258.63 and 202,407.90 is: 303,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,172.42 : 777,258.63 = 202,407.90 : x
  2. Step 2: Convert to fraction form
    518,172.42/777,258.63 = 202,407.90/x
  3. Step 3: Cross multiply
    518,172.42x = 777,258.63 × 202,407.90
  4. Step 4: Simplify right side
    518,172.42x = 157,323,284,140.46
  5. Step 5: Solve for x
    x = 157,323,284,140.46/518,172.42
  6. Step 6: Final answer
    x = 303,611.84

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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.