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Finding the Fourth Proportional to 653,847.49, 902,712.09 and 518,428.45

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Solution

The fourth proportional to 653,847.49, 902,712.09 and 518,428.45 is: 715,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,847.49 : 902,712.09 = 518,428.45 : x
  2. Step 2: Convert to fraction form
    653,847.49/902,712.09 = 518,428.45/x
  3. Step 3: Cross multiply
    653,847.49x = 902,712.09 × 518,428.45
  4. Step 4: Simplify right side
    653,847.49x = 467,991,629,614.96
  5. Step 5: Solve for x
    x = 467,991,629,614.96/653,847.49
  6. Step 6: Final answer
    x = 715,750.44

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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.