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Finding the Fourth Proportional to 270,609.34, 405,915.74 and 70,928.00

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Solution

The fourth proportional to 270,609.34, 405,915.74 and 70,928.00 is: 106,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,609.34 : 405,915.74 = 70,928.00 : x
  2. Step 2: Convert to fraction form
    270,609.34/405,915.74 = 70,928.00/x
  3. Step 3: Cross multiply
    270,609.34x = 405,915.74 × 70,928.00
  4. Step 4: Simplify right side
    270,609.34x = 28,790,791,024.48
  5. Step 5: Solve for x
    x = 28,790,791,024.48/270,609.34
  6. Step 6: Final answer
    x = 106,392.45

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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.