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Finding the Fourth Proportional to 431,089.53, 646,712.72 and 146,765.54

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Solution

The fourth proportional to 431,089.53, 646,712.72 and 146,765.54 is: 220,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,089.53 : 646,712.72 = 146,765.54 : x
  2. Step 2: Convert to fraction form
    431,089.53/646,712.72 = 146,765.54/x
  3. Step 3: Cross multiply
    431,089.53x = 646,712.72 × 146,765.54
  4. Step 4: Simplify right side
    431,089.53x = 94,915,137,608.28
  5. Step 5: Solve for x
    x = 94,915,137,608.28/431,089.53
  6. Step 6: Final answer
    x = 220,175.00

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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.