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Finding the Fourth Proportional to 431,294.09, 646,980.01 and 115,748.87

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Solution

The fourth proportional to 431,294.09, 646,980.01 and 115,748.87 is: 173,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,294.09 : 646,980.01 = 115,748.87 : x
  2. Step 2: Convert to fraction form
    431,294.09/646,980.01 = 115,748.87/x
  3. Step 3: Cross multiply
    431,294.09x = 646,980.01 × 115,748.87
  4. Step 4: Simplify right side
    431,294.09x = 74,887,201,545.82
  5. Step 5: Solve for x
    x = 74,887,201,545.82/431,294.09
  6. Step 6: Final answer
    x = 173,633.73

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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.