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Finding the Fourth Proportional to 275,807.30, 413,710.95 and 256,124.30

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Solution

The fourth proportional to 275,807.30, 413,710.95 and 256,124.30 is: 384,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,807.30 : 413,710.95 = 256,124.30 : x
  2. Step 2: Convert to fraction form
    275,807.30/413,710.95 = 256,124.30/x
  3. Step 3: Cross multiply
    275,807.30x = 413,710.95 × 256,124.30
  4. Step 4: Simplify right side
    275,807.30x = 105,961,427,471.09
  5. Step 5: Solve for x
    x = 105,961,427,471.09/275,807.30
  6. Step 6: Final answer
    x = 384,186.45

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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.