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Finding the Fourth Proportional to 305,015.63, 457,206.12 and 102,461.46

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Solution

The fourth proportional to 305,015.63, 457,206.12 and 102,461.46 is: 153,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,015.63 : 457,206.12 = 102,461.46 : x
  2. Step 2: Convert to fraction form
    305,015.63/457,206.12 = 102,461.46/x
  3. Step 3: Cross multiply
    305,015.63x = 457,206.12 × 102,461.46
  4. Step 4: Simplify right side
    305,015.63x = 46,846,004,861.61
  5. Step 5: Solve for x
    x = 46,846,004,861.61/305,015.63
  6. Step 6: Final answer
    x = 153,585.59

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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.