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Finding the Fourth Proportional to 566,827.70, 782,257.59 and 312,178.82

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Solution

The fourth proportional to 566,827.70, 782,257.59 and 312,178.82 is: 430,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,827.70 : 782,257.59 = 312,178.82 : x
  2. Step 2: Convert to fraction form
    566,827.70/782,257.59 = 312,178.82/x
  3. Step 3: Cross multiply
    566,827.70x = 782,257.59 × 312,178.82
  4. Step 4: Simplify right side
    566,827.70x = 244,204,247,470.96
  5. Step 5: Solve for x
    x = 244,204,247,470.96/566,827.70
  6. Step 6: Final answer
    x = 430,826.25

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