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Finding the Fourth Proportional to 788,530, 1,088,172.36 and 430,834

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Solution

The fourth proportional to 788,530, 1,088,172.36 and 430,834 is: 594,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,530 : 1,088,172.36 = 430,834 : x
  2. Step 2: Convert to fraction form
    788,530/1,088,172.36 = 430,834/x
  3. Step 3: Cross multiply
    788,530x = 1,088,172.36 × 430,834
  4. Step 4: Simplify right side
    788,530x = 468,821,650,548.24
  5. Step 5: Solve for x
    x = 468,821,650,548.24/788,530
  6. Step 6: Final answer
    x = 594,551.44

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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.