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Finding the Fourth Proportional to 412,044, 618,115 and 145,750.02

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Solution

The fourth proportional to 412,044, 618,115 and 145,750.02 is: 218,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,044 : 618,115 = 145,750.02 : x
  2. Step 2: Convert to fraction form
    412,044/618,115 = 145,750.02/x
  3. Step 3: Cross multiply
    412,044x = 618,115 × 145,750.02
  4. Step 4: Simplify right side
    412,044x = 90,090,273,612.30
  5. Step 5: Solve for x
    x = 90,090,273,612.30/412,044
  6. Step 6: Final answer
    x = 218,642.36

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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.