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Finding the Fourth Proportional to 419,484.48, 578,872.26 and 256,414.02

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Solution

The fourth proportional to 419,484.48, 578,872.26 and 256,414.02 is: 353,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484.48 : 578,872.26 = 256,414.02 : x
  2. Step 2: Convert to fraction form
    419,484.48/578,872.26 = 256,414.02/x
  3. Step 3: Cross multiply
    419,484.48x = 578,872.26 × 256,414.02
  4. Step 4: Simplify right side
    419,484.48x = 148,430,963,253.09
  5. Step 5: Solve for x
    x = 148,430,963,253.09/419,484.48
  6. Step 6: Final answer
    x = 353,841.37

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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.