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Finding the Fourth Proportional to 280,937.40, 421,208.96 and 103,421.64

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Solution

The fourth proportional to 280,937.40, 421,208.96 and 103,421.64 is: 155,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,937.40 : 421,208.96 = 103,421.64 : x
  2. Step 2: Convert to fraction form
    280,937.40/421,208.96 = 103,421.64/x
  3. Step 3: Cross multiply
    280,937.40x = 421,208.96 × 103,421.64
  4. Step 4: Simplify right side
    280,937.40x = 43,562,121,425.89
  5. Step 5: Solve for x
    x = 43,562,121,425.89/280,937.40
  6. Step 6: Final answer
    x = 155,059.89

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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.