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Finding the Fourth Proportional to 229,898.40, 317,197.80 and 134,428.56

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Solution

The fourth proportional to 229,898.40, 317,197.80 and 134,428.56 is: 185,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,898.40 : 317,197.80 = 134,428.56 : x
  2. Step 2: Convert to fraction form
    229,898.40/317,197.80 = 134,428.56/x
  3. Step 3: Cross multiply
    229,898.40x = 317,197.80 × 134,428.56
  4. Step 4: Simplify right side
    229,898.40x = 42,640,443,489.17
  5. Step 5: Solve for x
    x = 42,640,443,489.17/229,898.40
  6. Step 6: Final answer
    x = 185,475.16

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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.