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Finding the Fourth Proportional to 788,328, 1,087,892.64 and 430,632

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Solution

The fourth proportional to 788,328, 1,087,892.64 and 430,632 is: 594,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,328 : 1,087,892.64 = 430,632 : x
  2. Step 2: Convert to fraction form
    788,328/1,087,892.64 = 430,632/x
  3. Step 3: Cross multiply
    788,328x = 1,087,892.64 × 430,632
  4. Step 4: Simplify right side
    788,328x = 468,481,383,348.48
  5. Step 5: Solve for x
    x = 468,481,383,348.48/788,328
  6. Step 6: Final answer
    x = 594,272.16

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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.