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Finding the Fourth Proportional to 229,639.29, 317,056.86 and 205,364.94

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Solution

The fourth proportional to 229,639.29, 317,056.86 and 205,364.94 is: 283,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,639.29 : 317,056.86 = 205,364.94 : x
  2. Step 2: Convert to fraction form
    229,639.29/317,056.86 = 205,364.94/x
  3. Step 3: Cross multiply
    229,639.29x = 317,056.86 × 205,364.94
  4. Step 4: Simplify right side
    229,639.29x = 65,112,363,030.49
  5. Step 5: Solve for x
    x = 65,112,363,030.49/229,639.29
  6. Step 6: Final answer
    x = 283,541.91

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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.