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Finding the Fourth Proportional to 279,920.10, 419,880.15 and 102,554.40

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Solution

The fourth proportional to 279,920.10, 419,880.15 and 102,554.40 is: 153,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,920.10 : 419,880.15 = 102,554.40 : x
  2. Step 2: Convert to fraction form
    279,920.10/419,880.15 = 102,554.40/x
  3. Step 3: Cross multiply
    279,920.10x = 419,880.15 × 102,554.40
  4. Step 4: Simplify right side
    279,920.10x = 43,060,556,855.16
  5. Step 5: Solve for x
    x = 43,060,556,855.16/279,920.10
  6. Step 6: Final answer
    x = 153,831.60

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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.