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Finding the Fourth Proportional to 280,425, 420,638.40 and 70,062.96

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Solution

The fourth proportional to 280,425, 420,638.40 and 70,062.96 is: 105,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,425 : 420,638.40 = 70,062.96 : x
  2. Step 2: Convert to fraction form
    280,425/420,638.40 = 70,062.96/x
  3. Step 3: Cross multiply
    280,425x = 420,638.40 × 70,062.96
  4. Step 4: Simplify right side
    280,425x = 29,471,171,393.66
  5. Step 5: Solve for x
    x = 29,471,171,393.66/280,425
  6. Step 6: Final answer
    x = 105,094.66

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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.