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Finding the Fourth Proportional to 499,070.43, 688,731.03 and 305,474.31

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Solution

The fourth proportional to 499,070.43, 688,731.03 and 305,474.31 is: 421,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,070.43 : 688,731.03 = 305,474.31 : x
  2. Step 2: Convert to fraction form
    499,070.43/688,731.03 = 305,474.31/x
  3. Step 3: Cross multiply
    499,070.43x = 688,731.03 × 305,474.31
  4. Step 4: Simplify right side
    499,070.43x = 210,389,636,164.84
  5. Step 5: Solve for x
    x = 210,389,636,164.84/499,070.43
  6. Step 6: Final answer
    x = 421,563.02

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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.