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Finding the Fourth Proportional to 315,690.21, 435,647.03 and 172,446.57

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Solution

The fourth proportional to 315,690.21, 435,647.03 and 172,446.57 is: 237,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,690.21 : 435,647.03 = 172,446.57 : x
  2. Step 2: Convert to fraction form
    315,690.21/435,647.03 = 172,446.57/x
  3. Step 3: Cross multiply
    315,690.21x = 435,647.03 × 172,446.57
  4. Step 4: Simplify right side
    315,690.21x = 75,125,835,191.95
  5. Step 5: Solve for x
    x = 75,125,835,191.95/315,690.21
  6. Step 6: Final answer
    x = 237,973.28

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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.