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Finding the Fourth Proportional to 457,483.80, 686,271.30 and 191,327.64

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Solution

The fourth proportional to 457,483.80, 686,271.30 and 191,327.64 is: 287,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,483.80 : 686,271.30 = 191,327.64 : x
  2. Step 2: Convert to fraction form
    457,483.80/686,271.30 = 191,327.64/x
  3. Step 3: Cross multiply
    457,483.80x = 686,271.30 × 191,327.64
  4. Step 4: Simplify right side
    457,483.80x = 131,302,668,228.73
  5. Step 5: Solve for x
    x = 131,302,668,228.73/457,483.80
  6. Step 6: Final answer
    x = 287,010.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.