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Finding the Fourth Proportional to 506,912.82, 699,492.30 and 302,923.26

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Solution

The fourth proportional to 506,912.82, 699,492.30 and 302,923.26 is: 418,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,912.82 : 699,492.30 = 302,923.26 : x
  2. Step 2: Convert to fraction form
    506,912.82/699,492.30 = 302,923.26/x
  3. Step 3: Cross multiply
    506,912.82x = 699,492.30 × 302,923.26
  4. Step 4: Simplify right side
    506,912.82x = 211,892,487,860.90
  5. Step 5: Solve for x
    x = 211,892,487,860.90/506,912.82
  6. Step 6: Final answer
    x = 418,005.78

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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.