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Finding the Fourth Proportional to 421,346.34, 632,017.08 and 140,861.16

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Solution

The fourth proportional to 421,346.34, 632,017.08 and 140,861.16 is: 211,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,346.34 : 632,017.08 = 140,861.16 : x
  2. Step 2: Convert to fraction form
    421,346.34/632,017.08 = 140,861.16/x
  3. Step 3: Cross multiply
    421,346.34x = 632,017.08 × 140,861.16
  4. Step 4: Simplify right side
    421,346.34x = 89,026,659,028.61
  5. Step 5: Solve for x
    x = 89,026,659,028.61/421,346.34
  6. Step 6: Final answer
    x = 211,290.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.