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Finding the Fourth Proportional to 553,953.74, 764,445.50 and 312,231.61

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Solution

The fourth proportional to 553,953.74, 764,445.50 and 312,231.61 is: 430,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,953.74 : 764,445.50 = 312,231.61 : x
  2. Step 2: Convert to fraction form
    553,953.74/764,445.50 = 312,231.61/x
  3. Step 3: Cross multiply
    553,953.74x = 764,445.50 × 312,231.61
  4. Step 4: Simplify right side
    553,953.74x = 238,684,049,787.52
  5. Step 5: Solve for x
    x = 238,684,049,787.52/553,953.74
  6. Step 6: Final answer
    x = 430,873.62

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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.