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Finding the Fourth Proportional to 305,205.40, 457,714.48 and 211,040.64

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Solution

The fourth proportional to 305,205.40, 457,714.48 and 211,040.64 is: 316,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,205.40 : 457,714.48 = 211,040.64 : x
  2. Step 2: Convert to fraction form
    305,205.40/457,714.48 = 211,040.64/x
  3. Step 3: Cross multiply
    305,205.40x = 457,714.48 × 211,040.64
  4. Step 4: Simplify right side
    305,205.40x = 96,596,356,796.47
  5. Step 5: Solve for x
    x = 96,596,356,796.47/305,205.40
  6. Step 6: Final answer
    x = 316,496.22

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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.