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Finding the Fourth Proportional to 315,442.72, 435,308.66 and 172,202.72

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Solution

The fourth proportional to 315,442.72, 435,308.66 and 172,202.72 is: 237,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,442.72 : 435,308.66 = 172,202.72 : x
  2. Step 2: Convert to fraction form
    315,442.72/435,308.66 = 172,202.72/x
  3. Step 3: Cross multiply
    315,442.72x = 435,308.66 × 172,202.72
  4. Step 4: Simplify right side
    315,442.72x = 74,961,335,291.56
  5. Step 5: Solve for x
    x = 74,961,335,291.56/315,442.72
  6. Step 6: Final answer
    x = 237,638.50

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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.