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Finding the Fourth Proportional to 279,946.90, 419,920.35 and 209,088.10

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Solution

The fourth proportional to 279,946.90, 419,920.35 and 209,088.10 is: 313,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,946.90 : 419,920.35 = 209,088.10 : x
  2. Step 2: Convert to fraction form
    279,946.90/419,920.35 = 209,088.10/x
  3. Step 3: Cross multiply
    279,946.90x = 419,920.35 × 209,088.10
  4. Step 4: Simplify right side
    279,946.90x = 87,800,348,132.84
  5. Step 5: Solve for x
    x = 87,800,348,132.84/279,946.90
  6. Step 6: Final answer
    x = 313,632.15

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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.