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Finding the Fourth Proportional to 279,968.90, 419,953.35 and 130,159.40

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Solution

The fourth proportional to 279,968.90, 419,953.35 and 130,159.40 is: 195,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,968.90 : 419,953.35 = 130,159.40 : x
  2. Step 2: Convert to fraction form
    279,968.90/419,953.35 = 130,159.40/x
  3. Step 3: Cross multiply
    279,968.90x = 419,953.35 × 130,159.40
  4. Step 4: Simplify right side
    279,968.90x = 54,660,876,063.99
  5. Step 5: Solve for x
    x = 54,660,876,063.99/279,968.90
  6. Step 6: Final answer
    x = 195,239.10

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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.