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Finding the Fourth Proportional to 307,176.30, 460,764.45 and 279,620.10

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Solution

The fourth proportional to 307,176.30, 460,764.45 and 279,620.10 is: 419,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,176.30 : 460,764.45 = 279,620.10 : x
  2. Step 2: Convert to fraction form
    307,176.30/460,764.45 = 279,620.10/x
  3. Step 3: Cross multiply
    307,176.30x = 460,764.45 × 279,620.10
  4. Step 4: Simplify right side
    307,176.30x = 128,839,001,585.45
  5. Step 5: Solve for x
    x = 128,839,001,585.45/307,176.30
  6. Step 6: Final answer
    x = 419,430.15

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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.