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Finding the Fourth Proportional to 280,708.47, 421,064.53 and 112,242.95

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Solution

The fourth proportional to 280,708.47, 421,064.53 and 112,242.95 is: 168,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,708.47 : 421,064.53 = 112,242.95 : x
  2. Step 2: Convert to fraction form
    280,708.47/421,064.53 = 112,242.95/x
  3. Step 3: Cross multiply
    280,708.47x = 421,064.53 × 112,242.95
  4. Step 4: Simplify right side
    280,708.47x = 47,261,524,180.63
  5. Step 5: Solve for x
    x = 47,261,524,180.63/280,708.47
  6. Step 6: Final answer
    x = 168,365.15

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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.