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Finding the Fourth Proportional to 628,564.26, 867,402.02 and 342,078.20

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Solution

The fourth proportional to 628,564.26, 867,402.02 and 342,078.20 is: 472,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,564.26 : 867,402.02 = 342,078.20 : x
  2. Step 2: Convert to fraction form
    628,564.26/867,402.02 = 342,078.20/x
  3. Step 3: Cross multiply
    628,564.26x = 867,402.02 × 342,078.20
  4. Step 4: Simplify right side
    628,564.26x = 296,719,321,677.96
  5. Step 5: Solve for x
    x = 296,719,321,677.96/628,564.26
  6. Step 6: Final answer
    x = 472,058.85

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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.