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Finding the Fourth Proportional to 261,314.64, 392,199.48 and 149,219.28

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Solution

The fourth proportional to 261,314.64, 392,199.48 and 149,219.28 is: 223,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,314.64 : 392,199.48 = 149,219.28 : x
  2. Step 2: Convert to fraction form
    261,314.64/392,199.48 = 149,219.28/x
  3. Step 3: Cross multiply
    261,314.64x = 392,199.48 × 149,219.28
  4. Step 4: Simplify right side
    261,314.64x = 58,523,724,021.97
  5. Step 5: Solve for x
    x = 58,523,724,021.97/261,314.64
  6. Step 6: Final answer
    x = 223,958.84

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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.