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Finding the Fourth Proportional to 280,373.44, 420,558 and 70,009.96

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Solution

The fourth proportional to 280,373.44, 420,558 and 70,009.96 is: 105,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,373.44 : 420,558 = 70,009.96 : x
  2. Step 2: Convert to fraction form
    280,373.44/420,558 = 70,009.96/x
  3. Step 3: Cross multiply
    280,373.44x = 420,558 × 70,009.96
  4. Step 4: Simplify right side
    280,373.44x = 29,443,248,757.68
  5. Step 5: Solve for x
    x = 29,443,248,757.68/280,373.44
  6. Step 6: Final answer
    x = 105,014.40

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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.