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Finding the Fourth Proportional to 301,308.46, 415,702.68 and 172,154.26

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Solution

The fourth proportional to 301,308.46, 415,702.68 and 172,154.26 is: 237,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,308.46 : 415,702.68 = 172,154.26 : x
  2. Step 2: Convert to fraction form
    301,308.46/415,702.68 = 172,154.26/x
  3. Step 3: Cross multiply
    301,308.46x = 415,702.68 × 172,154.26
  4. Step 4: Simplify right side
    301,308.46x = 71,564,988,097.83
  5. Step 5: Solve for x
    x = 71,564,988,097.83/301,308.46
  6. Step 6: Final answer
    x = 237,514.04

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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.