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Finding the Fourth Proportional to 699,727.62, 965,922.03 and 470,417.90

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Solution

The fourth proportional to 699,727.62, 965,922.03 and 470,417.90 is: 649,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,727.62 : 965,922.03 = 470,417.90 : x
  2. Step 2: Convert to fraction form
    699,727.62/965,922.03 = 470,417.90/x
  3. Step 3: Cross multiply
    699,727.62x = 965,922.03 × 470,417.90
  4. Step 4: Simplify right side
    699,727.62x = 454,387,008,086.73
  5. Step 5: Solve for x
    x = 454,387,008,086.73/699,727.62
  6. Step 6: Final answer
    x = 649,376.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.