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Finding the Fourth Proportional to 642,278.64, 886,394.52 and 355,825.20

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Solution

The fourth proportional to 642,278.64, 886,394.52 and 355,825.20 is: 491,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,278.64 : 886,394.52 = 355,825.20 : x
  2. Step 2: Convert to fraction form
    642,278.64/886,394.52 = 355,825.20/x
  3. Step 3: Cross multiply
    642,278.64x = 886,394.52 × 355,825.20
  4. Step 4: Simplify right side
    642,278.64x = 315,401,507,357.90
  5. Step 5: Solve for x
    x = 315,401,507,357.90/642,278.64
  6. Step 6: Final answer
    x = 491,066.47

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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.