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Finding the Fourth Proportional to 786,288, 1,085,077.92 and 428,592

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Solution

The fourth proportional to 786,288, 1,085,077.92 and 428,592 is: 591,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,288 : 1,085,077.92 = 428,592 : x
  2. Step 2: Convert to fraction form
    786,288/1,085,077.92 = 428,592/x
  3. Step 3: Cross multiply
    786,288x = 1,085,077.92 × 428,592
  4. Step 4: Simplify right side
    786,288x = 465,055,715,888.64
  5. Step 5: Solve for x
    x = 465,055,715,888.64/786,288
  6. Step 6: Final answer
    x = 591,457.22

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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.