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Finding the Fourth Proportional to 412,089.90, 618,041.30 and 145,850.29

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Solution

The fourth proportional to 412,089.90, 618,041.30 and 145,850.29 is: 218,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,089.90 : 618,041.30 = 145,850.29 : x
  2. Step 2: Convert to fraction form
    412,089.90/618,041.30 = 145,850.29/x
  3. Step 3: Cross multiply
    412,089.90x = 618,041.30 × 145,850.29
  4. Step 4: Simplify right side
    412,089.90x = 90,141,502,880.28
  5. Step 5: Solve for x
    x = 90,141,502,880.28/412,089.90
  6. Step 6: Final answer
    x = 218,742.33

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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.