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Finding the Fourth Proportional to 453,664.66, 680,039.54 and 285,305.30

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Solution

The fourth proportional to 453,664.66, 680,039.54 and 285,305.30 is: 427,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,664.66 : 680,039.54 = 285,305.30 : x
  2. Step 2: Convert to fraction form
    453,664.66/680,039.54 = 285,305.30/x
  3. Step 3: Cross multiply
    453,664.66x = 680,039.54 × 285,305.30
  4. Step 4: Simplify right side
    453,664.66x = 194,018,886,315.03
  5. Step 5: Solve for x
    x = 194,018,886,315.03/453,664.66
  6. Step 6: Final answer
    x = 427,670.27

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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.