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Finding the Fourth Proportional to 305,062.81, 457,271.58 and 112,813.70

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Solution

The fourth proportional to 305,062.81, 457,271.58 and 112,813.70 is: 169,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,062.81 : 457,271.58 = 112,813.70 : x
  2. Step 2: Convert to fraction form
    305,062.81/457,271.58 = 112,813.70/x
  3. Step 3: Cross multiply
    305,062.81x = 457,271.58 × 112,813.70
  4. Step 4: Simplify right side
    305,062.81x = 51,586,496,135.24
  5. Step 5: Solve for x
    x = 51,586,496,135.24/305,062.81
  6. Step 6: Final answer
    x = 169,101.23

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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.