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Finding the Fourth Proportional to 420,787.32, 580,688.64 and 229,800.72

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Solution

The fourth proportional to 420,787.32, 580,688.64 and 229,800.72 is: 317,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,787.32 : 580,688.64 = 229,800.72 : x
  2. Step 2: Convert to fraction form
    420,787.32/580,688.64 = 229,800.72/x
  3. Step 3: Cross multiply
    420,787.32x = 580,688.64 × 229,800.72
  4. Step 4: Simplify right side
    420,787.32x = 133,442,667,567.82
  5. Step 5: Solve for x
    x = 133,442,667,567.82/420,787.32
  6. Step 6: Final answer
    x = 317,126.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.