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Finding the Fourth Proportional to 812,304, 1,120,824 and 525,784.32

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Solution

The fourth proportional to 812,304, 1,120,824 and 525,784.32 is: 725,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,304 : 1,120,824 = 525,784.32 : x
  2. Step 2: Convert to fraction form
    812,304/1,120,824 = 525,784.32/x
  3. Step 3: Cross multiply
    812,304x = 1,120,824 × 525,784.32
  4. Step 4: Simplify right side
    812,304x = 589,311,684,679.68
  5. Step 5: Solve for x
    x = 589,311,684,679.68/812,304
  6. Step 6: Final answer
    x = 725,481.70

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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.