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Finding the Fourth Proportional to 789,912, 1,090,079.28 and 432,216

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Solution

The fourth proportional to 789,912, 1,090,079.28 and 432,216 is: 596,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,912 : 1,090,079.28 = 432,216 : x
  2. Step 2: Convert to fraction form
    789,912/1,090,079.28 = 432,216/x
  3. Step 3: Cross multiply
    789,912x = 1,090,079.28 × 432,216
  4. Step 4: Simplify right side
    789,912x = 471,149,706,084.48
  5. Step 5: Solve for x
    x = 471,149,706,084.48/789,912
  6. Step 6: Final answer
    x = 596,458.47

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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.