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Finding the Fourth Proportional to 305,020.10, 457,530.15 and 83,404.10

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Solution

The fourth proportional to 305,020.10, 457,530.15 and 83,404.10 is: 125,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,020.10 : 457,530.15 = 83,404.10 : x
  2. Step 2: Convert to fraction form
    305,020.10/457,530.15 = 83,404.10/x
  3. Step 3: Cross multiply
    305,020.10x = 457,530.15 × 83,404.10
  4. Step 4: Simplify right side
    305,020.10x = 38,159,890,383.62
  5. Step 5: Solve for x
    x = 38,159,890,383.62/305,020.10
  6. Step 6: Final answer
    x = 125,106.15

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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.