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Finding the Fourth Proportional to 265,611, 398,494.53 and 78,627.36

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Solution

The fourth proportional to 265,611, 398,494.53 and 78,627.36 is: 117,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,611 : 398,494.53 = 78,627.36 : x
  2. Step 2: Convert to fraction form
    265,611/398,494.53 = 78,627.36/x
  3. Step 3: Cross multiply
    265,611x = 398,494.53 × 78,627.36
  4. Step 4: Simplify right side
    265,611x = 31,332,572,868.34
  5. Step 5: Solve for x
    x = 31,332,572,868.34/265,611
  6. Step 6: Final answer
    x = 117,964.14

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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.