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Finding the Fourth Proportional to 509,148, 763,529.92 and 409,062.24

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Solution

The fourth proportional to 509,148, 763,529.92 and 409,062.24 is: 613,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,148 : 763,529.92 = 409,062.24 : x
  2. Step 2: Convert to fraction form
    509,148/763,529.92 = 409,062.24/x
  3. Step 3: Cross multiply
    509,148x = 763,529.92 × 409,062.24
  4. Step 4: Simplify right side
    509,148x = 312,331,259,382.22
  5. Step 5: Solve for x
    x = 312,331,259,382.22/509,148
  6. Step 6: Final answer
    x = 613,439.04

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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.