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Finding the Fourth Proportional to 305,012.71, 457,580.22 and 105,340.42

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Solution

The fourth proportional to 305,012.71, 457,580.22 and 105,340.42 is: 158,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,012.71 : 457,580.22 = 105,340.42 : x
  2. Step 2: Convert to fraction form
    305,012.71/457,580.22 = 105,340.42/x
  3. Step 3: Cross multiply
    305,012.71x = 457,580.22 × 105,340.42
  4. Step 4: Simplify right side
    305,012.71x = 48,201,692,558.49
  5. Step 5: Solve for x
    x = 48,201,692,558.49/305,012.71
  6. Step 6: Final answer
    x = 158,031.75

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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.