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Finding the Fourth Proportional to 431,990.08, 648,274.35 and 179,270.82

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Solution

The fourth proportional to 431,990.08, 648,274.35 and 179,270.82 is: 269,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,990.08 : 648,274.35 = 179,270.82 : x
  2. Step 2: Convert to fraction form
    431,990.08/648,274.35 = 179,270.82/x
  3. Step 3: Cross multiply
    431,990.08x = 648,274.35 × 179,270.82
  4. Step 4: Simplify right side
    431,990.08x = 116,216,674,309.47
  5. Step 5: Solve for x
    x = 116,216,674,309.47/431,990.08
  6. Step 6: Final answer
    x = 269,026.26

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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.