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Finding the Fourth Proportional to 279,809.40, 419,714.10 and 102,257.40

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Solution

The fourth proportional to 279,809.40, 419,714.10 and 102,257.40 is: 153,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,809.40 : 419,714.10 = 102,257.40 : x
  2. Step 2: Convert to fraction form
    279,809.40/419,714.10 = 102,257.40/x
  3. Step 3: Cross multiply
    279,809.40x = 419,714.10 × 102,257.40
  4. Step 4: Simplify right side
    279,809.40x = 42,918,872,609.34
  5. Step 5: Solve for x
    x = 42,918,872,609.34/279,809.40
  6. Step 6: Final answer
    x = 153,386.10

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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.