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Finding the Fourth Proportional to 305,223.83, 457,901.36 and 102,840.05

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Solution

The fourth proportional to 305,223.83, 457,901.36 and 102,840.05 is: 154,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.83 : 457,901.36 = 102,840.05 : x
  2. Step 2: Convert to fraction form
    305,223.83/457,901.36 = 102,840.05/x
  3. Step 3: Cross multiply
    305,223.83x = 457,901.36 × 102,840.05
  4. Step 4: Simplify right side
    305,223.83x = 47,090,597,487.21
  5. Step 5: Solve for x
    x = 47,090,597,487.21/305,223.83
  6. Step 6: Final answer
    x = 154,282.18

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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.