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Finding the Fourth Proportional to 419,405.44, 579,164.16 and 266,494

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Solution

The fourth proportional to 419,405.44, 579,164.16 and 266,494 is: 368,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,405.44 : 579,164.16 = 266,494 : x
  2. Step 2: Convert to fraction form
    419,405.44/579,164.16 = 266,494/x
  3. Step 3: Cross multiply
    419,405.44x = 579,164.16 × 266,494
  4. Step 4: Simplify right side
    419,405.44x = 154,343,773,655.04
  5. Step 5: Solve for x
    x = 154,343,773,655.04/419,405.44
  6. Step 6: Final answer
    x = 368,006.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.