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Finding the Fourth Proportional to 305,811.40, 457,421.10 and 274,448.20

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Solution

The fourth proportional to 305,811.40, 457,421.10 and 274,448.20 is: 410,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,811.40 : 457,421.10 = 274,448.20 : x
  2. Step 2: Convert to fraction form
    305,811.40/457,421.10 = 274,448.20/x
  3. Step 3: Cross multiply
    305,811.40x = 457,421.10 × 274,448.20
  4. Step 4: Simplify right side
    305,811.40x = 125,538,397,537.02
  5. Step 5: Solve for x
    x = 125,538,397,537.02/305,811.40
  6. Step 6: Final answer
    x = 410,509.21

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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.