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Finding the Fourth Proportional to 490,682.52, 677,023.65 and 286,617.60

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Solution

The fourth proportional to 490,682.52, 677,023.65 and 286,617.60 is: 395,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,682.52 : 677,023.65 = 286,617.60 : x
  2. Step 2: Convert to fraction form
    490,682.52/677,023.65 = 286,617.60/x
  3. Step 3: Cross multiply
    490,682.52x = 677,023.65 × 286,617.60
  4. Step 4: Simplify right side
    490,682.52x = 194,046,893,706.24
  5. Step 5: Solve for x
    x = 194,046,893,706.24/490,682.52
  6. Step 6: Final answer
    x = 395,463.23

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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.