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Finding the Fourth Proportional to 312,137.48, 430,748.34 and 168,900.06

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Solution

The fourth proportional to 312,137.48, 430,748.34 and 168,900.06 is: 233,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,137.48 : 430,748.34 = 168,900.06 : x
  2. Step 2: Convert to fraction form
    312,137.48/430,748.34 = 168,900.06/x
  3. Step 3: Cross multiply
    312,137.48x = 430,748.34 × 168,900.06
  4. Step 4: Simplify right side
    312,137.48x = 72,753,420,470.90
  5. Step 5: Solve for x
    x = 72,753,420,470.90/312,137.48
  6. Step 6: Final answer
    x = 233,081.33

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1.5x scale

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.