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Finding the Fourth Proportional to 456,087.51, 629,418.51 and 302,861.50

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Solution

The fourth proportional to 456,087.51, 629,418.51 and 302,861.50 is: 417,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,087.51 : 629,418.51 = 302,861.50 : x
  2. Step 2: Convert to fraction form
    456,087.51/629,418.51 = 302,861.50/x
  3. Step 3: Cross multiply
    456,087.51x = 629,418.51 × 302,861.50
  4. Step 4: Simplify right side
    456,087.51x = 190,626,632,492.82
  5. Step 5: Solve for x
    x = 190,626,632,492.82/456,087.51
  6. Step 6: Final answer
    x = 417,960.65

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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.