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Finding the Fourth Proportional to 456,414.40, 684,038.40 and 219,246.40

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Solution

The fourth proportional to 456,414.40, 684,038.40 and 219,246.40 is: 328,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,414.40 : 684,038.40 = 219,246.40 : x
  2. Step 2: Convert to fraction form
    456,414.40/684,038.40 = 219,246.40/x
  3. Step 3: Cross multiply
    456,414.40x = 684,038.40 × 219,246.40
  4. Step 4: Simplify right side
    456,414.40x = 149,972,956,661.76
  5. Step 5: Solve for x
    x = 149,972,956,661.76/456,414.40
  6. Step 6: Final answer
    x = 328,589.45

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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.