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Finding the Fourth Proportional to 415,060.48, 621,696.44 and 281,206.40

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Solution

The fourth proportional to 415,060.48, 621,696.44 and 281,206.40 is: 421,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,060.48 : 621,696.44 = 281,206.40 : x
  2. Step 2: Convert to fraction form
    415,060.48/621,696.44 = 281,206.40/x
  3. Step 3: Cross multiply
    415,060.48x = 621,696.44 × 281,206.40
  4. Step 4: Simplify right side
    415,060.48x = 174,825,017,785.22
  5. Step 5: Solve for x
    x = 174,825,017,785.22/415,060.48
  6. Step 6: Final answer
    x = 421,203.72

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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.