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Finding the Fourth Proportional to 456,624.19, 684,941 and 203,917.56

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Solution

The fourth proportional to 456,624.19, 684,941 and 203,917.56 is: 305,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,624.19 : 684,941 = 203,917.56 : x
  2. Step 2: Convert to fraction form
    456,624.19/684,941 = 203,917.56/x
  3. Step 3: Cross multiply
    456,624.19x = 684,941 × 203,917.56
  4. Step 4: Simplify right side
    456,624.19x = 139,671,497,463.96
  5. Step 5: Solve for x
    x = 139,671,497,463.96/456,624.19
  6. Step 6: Final answer
    x = 305,878.45

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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.