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Finding the Fourth Proportional to 312,103.10, 430,702.28 and 168,863.14

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Solution

The fourth proportional to 312,103.10, 430,702.28 and 168,863.14 is: 233,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,103.10 : 430,702.28 = 168,863.14 : x
  2. Step 2: Convert to fraction form
    312,103.10/430,702.28 = 168,863.14/x
  3. Step 3: Cross multiply
    312,103.10x = 430,702.28 × 168,863.14
  4. Step 4: Simplify right side
    312,103.10x = 72,729,738,561.64
  5. Step 5: Solve for x
    x = 72,729,738,561.64/312,103.10
  6. Step 6: Final answer
    x = 233,031.13

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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.