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Finding the Fourth Proportional to 446,117.80, 669,176.70 and 313,148.20

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Solution

The fourth proportional to 446,117.80, 669,176.70 and 313,148.20 is: 469,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,117.80 : 669,176.70 = 313,148.20 : x
  2. Step 2: Convert to fraction form
    446,117.80/669,176.70 = 313,148.20/x
  3. Step 3: Cross multiply
    446,117.80x = 669,176.70 × 313,148.20
  4. Step 4: Simplify right side
    446,117.80x = 209,551,479,086.94
  5. Step 5: Solve for x
    x = 209,551,479,086.94/446,117.80
  6. Step 6: Final answer
    x = 469,722.30

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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.