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Finding the Fourth Proportional to 499,070.73, 688,731.41 and 305,474.58

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Solution

The fourth proportional to 499,070.73, 688,731.41 and 305,474.58 is: 421,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,070.73 : 688,731.41 = 305,474.58 : x
  2. Step 2: Convert to fraction form
    499,070.73/688,731.41 = 305,474.58/x
  3. Step 3: Cross multiply
    499,070.73x = 688,731.41 × 305,474.58
  4. Step 4: Simplify right side
    499,070.73x = 210,389,936,675.19
  5. Step 5: Solve for x
    x = 210,389,936,675.19/499,070.73
  6. Step 6: Final answer
    x = 421,563.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.