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Finding the Fourth Proportional to 312,576, 469,435.98 and 286,225.34

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Solution

The fourth proportional to 312,576, 469,435.98 and 286,225.34 is: 429,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,576 : 469,435.98 = 286,225.34 : x
  2. Step 2: Convert to fraction form
    312,576/469,435.98 = 286,225.34/x
  3. Step 3: Cross multiply
    312,576x = 469,435.98 × 286,225.34
  4. Step 4: Simplify right side
    312,576x = 134,364,472,983.73
  5. Step 5: Solve for x
    x = 134,364,472,983.73/312,576
  6. Step 6: Final answer
    x = 429,861.77

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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.