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Finding the Fourth Proportional to 305,782.80, 458,674.20 and 302,830.35

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Solution

The fourth proportional to 305,782.80, 458,674.20 and 302,830.35 is: 454,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,782.80 : 458,674.20 = 302,830.35 : x
  2. Step 2: Convert to fraction form
    305,782.80/458,674.20 = 302,830.35/x
  3. Step 3: Cross multiply
    305,782.80x = 458,674.20 × 302,830.35
  4. Step 4: Simplify right side
    305,782.80x = 138,900,468,521.97
  5. Step 5: Solve for x
    x = 138,900,468,521.97/305,782.80
  6. Step 6: Final answer
    x = 454,245.53

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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.