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Finding the Fourth Proportional to 280,937.16, 421,208.60 and 103,421.40

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Solution

The fourth proportional to 280,937.16, 421,208.60 and 103,421.40 is: 155,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,937.16 : 421,208.60 = 103,421.40 : x
  2. Step 2: Convert to fraction form
    280,937.16/421,208.60 = 103,421.40/x
  3. Step 3: Cross multiply
    280,937.16x = 421,208.60 × 103,421.40
  4. Step 4: Simplify right side
    280,937.16x = 43,561,982,586.93
  5. Step 5: Solve for x
    x = 43,561,982,586.93/280,937.16
  6. Step 6: Final answer
    x = 155,059.53

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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.