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Finding the Fourth Proportional to 431,145.05, 646,817.69 and 146,838.06

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Solution

The fourth proportional to 431,145.05, 646,817.69 and 146,838.06 is: 220,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,145.05 : 646,817.69 = 146,838.06 : x
  2. Step 2: Convert to fraction form
    431,145.05/646,817.69 = 146,838.06/x
  3. Step 3: Cross multiply
    431,145.05x = 646,817.69 × 146,838.06
  4. Step 4: Simplify right side
    431,145.05x = 94,977,456,464.66
  5. Step 5: Solve for x
    x = 94,977,456,464.66/431,145.05
  6. Step 6: Final answer
    x = 220,291.19

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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.