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Finding the Fourth Proportional to 356,471.30, 533,722.80 and 277,739.30

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Solution

The fourth proportional to 356,471.30, 533,722.80 and 277,739.30 is: 415,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,471.30 : 533,722.80 = 277,739.30 : x
  2. Step 2: Convert to fraction form
    356,471.30/533,722.80 = 277,739.30/x
  3. Step 3: Cross multiply
    356,471.30x = 533,722.80 × 277,739.30
  4. Step 4: Simplify right side
    356,471.30x = 148,235,796,866.04
  5. Step 5: Solve for x
    x = 148,235,796,866.04/356,471.30
  6. Step 6: Final answer
    x = 415,842.16

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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.