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Finding the Fourth Proportional to 511,871.40, 768,390.30 and 301,627.80

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Solution

The fourth proportional to 511,871.40, 768,390.30 and 301,627.80 is: 452,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,871.40 : 768,390.30 = 301,627.80 : x
  2. Step 2: Convert to fraction form
    511,871.40/768,390.30 = 301,627.80/x
  3. Step 3: Cross multiply
    511,871.40x = 768,390.30 × 301,627.80
  4. Step 4: Simplify right side
    511,871.40x = 231,767,875,730.34
  5. Step 5: Solve for x
    x = 231,767,875,730.34/511,871.40
  6. Step 6: Final answer
    x = 452,785.36

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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.