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Finding the Fourth Proportional to 292,401.60, 438,748.20 and 166,138.80

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Solution

The fourth proportional to 292,401.60, 438,748.20 and 166,138.80 is: 249,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,401.60 : 438,748.20 = 166,138.80 : x
  2. Step 2: Convert to fraction form
    292,401.60/438,748.20 = 166,138.80/x
  3. Step 3: Cross multiply
    292,401.60x = 438,748.20 × 166,138.80
  4. Step 4: Simplify right side
    292,401.60x = 72,893,099,450.16
  5. Step 5: Solve for x
    x = 72,893,099,450.16/292,401.60
  6. Step 6: Final answer
    x = 249,291.04

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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.