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Finding the Fourth Proportional to 445,978.44, 615,450.65 and 242,029.40

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Solution

The fourth proportional to 445,978.44, 615,450.65 and 242,029.40 is: 334,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,978.44 : 615,450.65 = 242,029.40 : x
  2. Step 2: Convert to fraction form
    445,978.44/615,450.65 = 242,029.40/x
  3. Step 3: Cross multiply
    445,978.44x = 615,450.65 × 242,029.40
  4. Step 4: Simplify right side
    445,978.44x = 148,957,147,261.71
  5. Step 5: Solve for x
    x = 148,957,147,261.71/445,978.44
  6. Step 6: Final answer
    x = 334,000.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.